Minvydas Ragulskis

Professor (Applied Mathematics) at Kaunas University of Technology

Studentu 50-147, Kaunas LT-51368 Lithuania
minvydas.ragulskis@ktu.lt

Biography

Education

1989
Graduated Kaunas University of Technology, Faculty of Applied Mathematics
1992
Ph.D. (Doctor of Sciences) degree, Kaunas University of Technology
2002
Habilitation, Kaunas University of Technology

Positions and titles

1992 - 1997
Research fellow at Scientific Center “Vibrotechnika”, Kaunas
1997 - 1999
Assistant professor at Department of Mathematical Research in Systems, Faculty of Fundamental Sciences, Kaunas University of Technology
1999 - 2002
Associate professor at the Department of Mathematical Research in Systems and the Department of Informatics, Kaunas University of Technology
2000
Pedagogical degree of Docent
Since 2002
Full professor at Department of Mathematical Modeling
2008
Pedagogical degree of Professor, Kaunas University of Technology
2012
Fellow of the Lithuanian National Academy of Science
2015
Invited Expert at Research Executive Agency, European Commission, Brussels
2017
Principal Investigator, Center for Nonlinear Systems, Kaunas University of Technology, Lithuania
2017
Honorary Professor, Jinan University, Zhuhai, Guangdong, P.R. China
2018
Scientific Advisory Board, HeartMath Institute, USA
2018
Member of the Panel, the Research Foundation Flanders (FWO), Belgium

Awards and nominations

1998
Award for the best result in a section, in all ex-USSR Applied Mathematics Students Olympiad of Technical Universities
1989
Cum Laude Diploma, Kaunas University of Technology
2001
Lithuanian State stipend for young scientists
2005
Elsevier Grant
2005
Gold Medal at Lithuanian Annual Competition in the area of Machines and Instruments (with co-authors)
2005
Lithuanian State Science Award presented by Lithuanian Government
2008
Official Expert at Research Council of Lithuania
2010
Kazickas Foundation grant
2011
Spotlighting Exceptional Research Nomination - FOCUS: http://physics.aps.org/articles/v4/96
2012
Fellow of the Lithuanian National Academy of Sciences
2013
Official Expert at the Committee of National Science Awards
2015
Invited Expert, Research Executive Agency, European Commission, Brussels
2016
Zigmas Zemaitis Medal - awarded by Lithuanian Mathematical Society
2016
High-end Foreign Expert - Program administered by the State Administration of Foreign Experts Affairs (SAFEA), China
2016
Invited Rapporteur, Research Executive Agency, European Commission, Brussels
2017
Sentinels of Science Award (Computer Science) - Top overall contributors to peer review in science and research (https://publons.com/author/469476/minvydas-ragulskis)
2018
Invited Monitoring Expert (MSC Program), Research Executive Agency, European Commission, Brussels

Grants

2011
MIP-041/2011 (Head of the Project) Project Title: H-rank for investigation of nonlinear systems – the concept and applications (2011-2012) Research Council of Lithuania (32.145,- Eur)
2012
MIP-100/2012 (Head of the Project) Project Title: Dynamic visual cryptography for the assessment of human visual system (2012-2014) Research Council of Lithuania (52.405,- Eur)
2013
VP1-3.1-SMM-10-V-02-005 (Senior Research Fellow) Project Title: Development, implementation and commercialization of training rocket equipment (2013-2015) European Social Fund (714.583,- Eur)
2015
GEOMAG (Head of the Project) Project Title: The impact of local and global magnetic fields to human heath (2015) KTU-LSMU (7.114,- Eur)
2015
MIP-078/2015 (Head of the Project) Project Title: Algebraic techniques and algorithms for time series analysis (2015-2018) Research Council of Lithuania (91.084,- Eur)
2016
CA15140 (Member of the Executive Committee) Project Title: Improving applicability of nature-inspired optimization by joining theory and practice (2016-2018) COST Program, European Commission
2018
JSB2017007 (Senior Research Fellow) Project Title: Jiangsu Provincial Program of Foreign Experts Type B (2018-2019) Jiangsu Province, P.R.China
2018
09.3.3-LMT-K-712 (Senior Research Fellow) Project Title: Development of a predictive model for antimicrobial activity of titanium dioxide structures surfaces (2018-2020) EU Structural Funds and Research Council of Lithuania (559.779,- Eur)

Publications

By year

2002

Papers in the Web of Science

  • [PDF]
  • M.Ragulskis, R.Maskeliunas, L.Ragulskis. Plotting moire fringes for circular structures from FEM results. Experimental Techniques. ISSN 0732-8818, Wiley. 2002, vol.26(1), p.31-35.

    [DOI] [PDF]
2003

Papers in the Web of Science

  • M.Ragulskis, A.Palevicius, L.Ragulskis. Plotting holographic interferograms for visualisation of dynamic results from finite element calculations. International Journal for Numerical Methods in Engineering. ISSN 0029-5981, John Wiley & Sons. 2003, vol.56, p.1647-1659.

    [DOI] [PDF]
2004

Papers in the Web of Science

  • M.Ragulskis, L.Ragulskis. Plotting isoclinics for hybrid photoelasticity and finite element analysis. Experimental Mechanics. ISSN 0014-4851, Sage Science Press. 2004, vol.44(3), p.235-240.

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  • M.Ragulskis, K.Koizumi. Applicability of attractor control techniques for a particle conveyed by a propagating wave. Journal of Vibration and Control. ISSN 1077-5463, Sage Publications. 2004, vol.10(7), p.1057-1071.

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  • M.Ragulskis, L.Ragulskis, R.Maskeliunas. Applicability of time average geometric moire for vibrating elastic structures. Experimental Techniques. ISSN 0732-8818, Wiley. 2004, vol.28(4), p.27-30.

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  • R.Bansevicius, A.Fedaravicius, V.Ostasevicius, M.Ragulskis. Development of laser rifle trainer with full shot Imitation. Shock and Vibration. ISSN 1070-9622, IOS Press. 2004, vol.11(2), p.81-88.

  • M.Ragulskis, L.Ragulskis. Conjugate approximation with smoothing for hybrid photoelastic and FEM analysis. Communications in Numerical Methods in Engineering. ISSN 1069-8299. John Wiley & Sons. 2004, vol. 20(8), p.647-653.

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  • M.Ragulskis. Coexisting attractors and their control in rotary motion transfer mechanism. Journal of Vibration and Control. ISSN 1077-5463. Sage Publications, 2004, vol. 10, p. 101-113. DOI: 10.1177/107754604031475

    [DOI] [PDF]
2005

Papers in the Web of Science

  • M.Ragulskis, L.Ragulskis. On interpretation of fringe patterns produced by time average photoelasticity. Experimental Techniques. ISSN 0732-8818, Wiley. 2005, vol.29(3), p.48-51.

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  • M.Ragulskis, R.Maskeliunas, L.Saunoriene. Identification of in-plane vibrations using time average stochastic moiré. Experimental Techniques. ISSN 0732-8818, Wiley. 2005, vol.29(6), p.41-45.

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  • M.Ragulskis, R.Maskeliunas, L.Ragulskis, V.Turla. Investigation of dynamic displacements of lithographic press rubber roller by time average geometric moire. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2005, vol.43(4), p.951-962.

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  • V.Ostasevicius, S.Tamulevicius, A.Palevicius, M.Ragulskis, R.Palevicius, V.Grigaliunas. Hybrid numerical—experimental approach for investigation of dynamics of microcantilever relay system. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2005, vol.43(1), p.63-73.

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  • .Ostasevicius, S.Tamulevicius, A. Palevicius, M.Ragulskis, V.Grigaliunas, V.Minialga. Synergy of Contact and Non-Contact Techniques for Design and Characterization of Vibrating MOEMS Elements. Journal of Microlithography, Microfabrication, and Microsystems. ISSN 1932-5150, SPIE. 2005, vol. 4(4), article no. 041602.

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  • M.Ragulskis, A.Palevicius, L.Ragulskis, A.Fedaravicius. Applicability of time average fluid holography for analysis of propagating waves. Optical Engineering. ISSN 0091-3286, SPIE. 2005, vol. 44(10), article no. 105801.

    [DOI]

Presentations at Conferences

  • M.Ragulskis, V.Kravcenkiene. Adaptive conjugate smoothing of discontinuous fields. Lecture Notes in Computer Science. Numerical Analysis and Its Applications: Third International Conference. Springer Verlag. 2005, vol.3401-0463, p.463-470.

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  • A.Fedaravicius, M.Ragulskis, Z.Klimavicius. Computational support of the development of a mortar simulator with re-usable shells. 2nd International Conference on Computational Ballistics, MAY 18-20, 2005. WIT Transactions on Modelling and Simulation, vol.40, p.381-389, WIT Press, ISSN 1743-355X.

  • L.Ragulskis, M.Ragulskis, A.Palevicius, et al. Shearographic technique for NDE analysis of high frequency bending vibrations of microstructures. 3rd Conference on Testing, Reliability, and Application of Micro and Nano-Material Systems, Proc. SPIE. MAR 08-10, 2005, p.118-125, 2005.

    [DOI]
2006

Papers in the Web of Science

  • M.Ragulskis, L.Saunoriene. Applicability of optical geometric differentiation for time-average geometric moiré. Strain. ISSN 0039-2103.- 2006, Vol. 42(3), p. 173-179.

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  • M.Ragulskis, R.Maskeliunas. Measurement of transverse vibrations of piezoelectric ceramics by atomic force microscopy. Experimental Techniques. ISSN 0732-8818, Wiley. 2006, vol.30(2), p.37-41.

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  • M.Ragulskis, A.Fedaravicius, K.Ragulskis. Harmonic balance method for FEM analysis of fluid flow in a vibrating pipe. Communications in Numerical Methods in Engineering. ISSN 1069-8299, Wiley. 2006, vol.22(4), p.347-356.

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  • M.Ragulskis, L.Saunoriene, J.Ragulskiene. Interpretation of fringes produced by time average reflection moire on a circular disk. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2006, vol.44(11), p.1209-1218.

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  • M.Ragulskis, L.Ragulskis. Order adaptive integration rule with equivalently weighted internal nodes. Engineering Computations. ISSN 0264-4401, Emerald Publishing. 2006, vol.23(4), p.368-381.

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  • V.Kravcenkiene, A.Aleksa, M.Ragulskis, R.Maskeliunas. Choice of smoothing parameter using photo-elastic coatings. Journal of Mechanical Engineering. ISSN 0039-2480, Universitas Labacensis. 2006, vol.52(4), p.237-241.

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Presentations at Conferences

  • V.Ostasevicius, N.Gitis, A.Palevicius, M.Ragulskis, S.Tamulevicius. Hybrid experimental-numerical full-field displacement evaluation for characterization of micro-scale components of mechatronic systems. Solid State Phenomena. ISSN 1662-9779, Scientific Net. 2006, vol.113, p.73-78.

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  • L.Saunoriene, M.Ragulskis, A.Palevicius, V.Ostasevicius, G.Janusas. Hybrid numerical-experimental moire technique for analysis of microstructures. Proc. SPIE 6345, Seventh International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 2006, article no. 634511.

    [DOI]
2007

Papers in the Web of Science

  • M.Ragulskis, K.Ragulskis. The effect of dynamical self-orientation and its applicability for identification of natural frequencies. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2007, vol.50(1-2), p.61-71.

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  • M.Ragulskis, A.Bubulis, K.Ragulskis. Numerical procedure for fluid flow in a pipe performing transverse oscillations. Communications in Numerical Methods in Engineering. ISSN 1069-8299, John Wiley & Sons. 2007, vol.23, p.335-343.

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  • M.Ragulskis, A.Palevicius, L.Ragulskis, A.Bubulis. Generalised Abel transform for the analysis of fluid vibration in a tube. Optical Engineering. ISSN 0091-3286, SPIE. 2007, vol.46(6), 065801.

    [DOI]
  • M.Ragulskis, A.Aleksa, L.Saunoriene. Improved algorithm for image encryption based on stochastic geometric moire and its application. Optics Communications. ISSN 0030-4018, Elsevier. 2007, vol.273(2), p.370-378.

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  • M.Ragulskis, Z.Navickas. Hash function construction based on time average moiré. Discrete and Continuous Dynamical Systems-Series B. ISSN 1531-3492, American Institute of Mathematical Sciences. 2007, vol.8(4), p.1007-1020.

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  • M.Ragulskis, M.Sanjuan, L.Saunoriene. Applicability of time average moire techniques for chaotic oscillations. Physical Review E. ISSN 1539-3755, American Physical Soc. 2007, vol. 76, article no. 036208.

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  • A.Fedaravicius, V.Jonevicius, M.Ragulskis. Development of mortar simulator with shell-in-shell system – problem of external ballistics. Shock and Vibration. ISSN 1070-9622, IOS Press. 2007, vol.14(5), p.371-376.

Book Chapters

  • M.Ragulskis. Applicability of time average stochastic moire for cryptographic applications. Experimental Analysis of Nano and Engineering Materials and Structures. ISBN 978-1-4020-6238-4. Amsterdam: Springer, 2007, p.335-336.

Presentations at Conferences

  • M.Ragulskis, L.Saunoriene. Order adaptive quadrature rule for real time holography applications. In: Boyanov T., Dimova S., Georgiev K., Nikolov G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. ISSN 0302-9743, Springer. 2007, vol.4310, p.685-692.

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  • M.Ragulskis, V.Ostasevicius, A.Aleksa, A.Palevicius. Hybrid numerical-experimental technique of transverse vibration of fluid in tube. Proceedings of FEDSM2007: 5th Joint ASME/JSME Fluids Engineering Conference, July 30 - August 2, 2007, San Diego, California, USA. - ISBN 0-7918-3805-6. - New York, 2007, p.[1-4].

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  • R.Bansevicius, A.Busilas, M.Ragulskis, A.Palevicius, V.Ostasevicius. Development and experimental analysis of piezoelectric optical scanner based on FEM and laser holography. IMAC-XXV: a conference & exposition on structural dynamics, February 19-22, 2007, Orlando, Florida, USA - ISBN 0-912053-96-8. 2007, p.1-8.

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2008

Papers in the Web of Science

  • M.Ragulskis, M.A.F.Sanjuan. Chaotic pattern of unsmoothed isochromatics around the regions of concentrated stresses. Computers and Graphics. ISSN 0097-8493, Elsevier. 2008, vol.31(1), p.116-119.

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  • M.Ragulskis, L.Saunoriene. Generalisations of compound trapeziodal rule. Applied Numerical Mathematics. ISSN 0168-9274, Elsevier. 2008, vol.58(1), p.40-58.

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  • M.Ragulskis, M.A.F.Sanjuan. Transport of particles by surface waves: a modification of the classical bouncer model. New Journal of Physics. ISSN 1367-2630, Institute of Physics. 2008, issue 10, article No.083017.

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  • M.Ragulskis, K.Ragulskis. Algorithm for analysis of periodic oscillations of structural systems with geometric nonlinearity. Communications in Numerical Methods in Engineering. ISSN 1069-8299, John Wiley & Sons. 2008, vol.24(12), p.1863-1871.

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Presentations at Conferences

  • J.Ragulskiene, E.Sakyte, M.Ragulskis. Traveling wave electrophoresis - construction of numerical model. International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics Proceedings, vol.1048, p.450-453.

    [DOI]
2009

Papers in the Web of Science

  • M.Ragulskis, A.Aleksa. Image hiding based on time-averaging moire. Optics Communications. ISSN 0030-4018, Elsevier,.2009, vol.282, p.2752-2759.

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  • M.Ragulskis, A.Aleksa, R.Maskeliunas. Contrast enhancement of time averaged fringes based on moving average mapping functions. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2009, vol. 47(7-8), p.768-773.

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  • M.Ragulskis, L.Saunoriene, R.Maskeliunas. The structure of moire grating lines and influence to time averaged fringes. Experimental Techniques. ISSN 0732-8818, Wiley-Blackwell Publishing. 2009, vol. march/april, p.60-64.

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  • M.Ragulskis, Z.Navickas. Time average moire - back to the basics. Experimental Mechanics. ISSN 0014-4851, Springer. 2009, vol.49(8), p.439-450.

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  • Z.Navickas, M.Ragulskis. How far one can go with the Exp function method? Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2009, vol.211(2), p.522-530.

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  • M.Ragulskis, K.Lukoseviciute. Non-uniform attractor embedding for time series forecasting by fuzzy inference systems. Neurocomputing. ISSN 0925-2312, Elsevier. 2009, vol.72(10-12), p.2618-2626.

    [DOI] [PDF]
  • M.Ragulskis. Time-averaged patterns produced by stochastic moiré gratings. Computers and Graphics. ISSN 0097-8493, Elsevier. 2009, vol.33(2), p.147-150.

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  • M.Ragulskis, A.Aleksa, Z.Navickas. Image hiding based on time-averaged fringes produced by non-harmonic oscillations. Journal of Optics A: Pure and Applied Optics. ISSN 1464-4258, Institute of Physics Publishing. 2009, vol.11(12), article no. 125411.

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  • M.Ragulskis, E.Sakyte. An explicit equation for the dynamics of a particle conveyed by a propagating wave. Mathematical and Computer Modelling of Dynamical Systems. ISSN 1387-3954, Taylor & Francis. 2009, vol.15(4), p.395-405.

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  • M.Ragulskis, E.Sakyte, J.Seaone, M.A.F. Sanjuan. A new mechanical model for particle transport by surface waves and applications. Mathematical Problems in Engineering. ISSN 1024-123X, Hindawi Publishing Corporation. 2009, vol.2009, article ID 731358, 17 pages.

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Presentations at Conferences

  • R.P.Bansevičius, A.Lipnickas, M.Ragulskis. New type of multi-degree-of-freedom piezoelectric actuators, based on active kinematic pairs. ICINCO 2009: Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics, July 2-5, 2009, Milan, Italy. Vol. 2. Robotics and Automation. Setsbal : INSTICC, 2009, p.159-164.

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  • J.Ragulskienė, K.Lukoseviciūte, M.Ragulskis. Near-optimal embedding by genetic algorithms for time series prediction. International Conference on Numerical Analysis and Applied Mathematics 2009, Vol. 1, September 18-22, 2009, Rethymno, Crete, Greece. Melville, New York : American Institute of Physics, 2009, p. 148-151.

    [DOI]
  • M.Ragulskis, E.Sakytė, A.Palevičius, R.Bendikienė. Thermo photo elasticity: hybrid numerical experimental approach for investigation smart structures. Proceedings of SPIE: Modeling, Signal Processing, and Control for Smart Structures 2009. Bellingham, vol. 7286, article no. 728608.

    [DOI]
  • A.Algiment, M.Ragulskis, A.Palevičius, J.Ragulskienė. Adaptive conjugate smoothing of digital images using photo-elastic coatings. Proceedings of SPIE: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009. Bellingham, vol.7292, article no. 72924B

    [DOI]

Other Publications

  • M.Ragulskis, Z.Navickas, L.Saunorienė, K.Lukoseviciute. Construction of cryptographic hash functions based on time average chaotic map. Journal of Applied Functional Analysis. ISSN 1559-1948, Eudoxus Press LLC. 2009, vol.4(4), p.611-622.

    [PDF]
  • A.Aleksa, M.Ragulskis. Time-Averaged Moiré Fringes. Wolfram demonstration. http://demonstrations.wolfram.com/TimeAveragedMoireFringes/

2010

Papers in the Web of Science

  • K.Lukoseviciute, M.Ragulskis. Evolutionary algorithms for the selection of time lags for time series forecasting by fuzzy inference systems. Neurocomputing. ISSN 0925-2312, Elsevier. 2010, vol.73, p.2077-2088.

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  • Z.Navickas, M.Ragulskis, L.Bikulciene. Be careful with the Exp-function method - additional remarks. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2010, vol.15, p.3874-3886.

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  • Z.Navickas, L.Bikulciene, M.Ragulskis. Generalization of Exp-function and other standard function based methods. Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2010, vol.216(8), p.2380-2393.

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Book Chapters

  • Loreta Saunoriene, Minvydas Ragulskis. Algorithms and Techniques for Time-Averaged Moiré Fringes. LAP Lambert Academic Publishing. 2010, Saarbrücken. ISBN 978-3-8383-5700-3, paperback, 148 Pages.

Other Publications

  • M.Ragulskis, A.Aleksa, J.Ragulskiene. Image hiding based on circular moire fringes. WSEAS Transactions on Mathematics. ISSN 1109-2769, WSEAS. 2010, vol.9(2), p.90-99.

  • M.Ragulskis. Book Review solicited by the Publisher. RECENT PROGRESS IN CONTROLLING CHAOS edited by Miguel A.F. Sanjuan and Celso Grebogi. 2010, 431 pp., ISBN-13 978-981-4291-69-9; ISBN-10 981-4291-69-2. World Scientific Publishing. Series on Stability Vibration and Control of Systems, Series B - Vol. 16. http://www.worldscibooks.com/chaos/7563.html

  • M.Ragulskis. Book Review solicited by the Publisher. CHAOS IN STRUCTURAL MECHANICS by Awrejcewicz J. and Krysko V.A.. 1st Edition., 2008, XIII, 424 p. 195 illus., Hardcover, ISBN: 978-3-540-77675-8. Springer. Series: Understanding Complex Systems. http://www.springer.com/engineering/book/978-3-540-77675-8?detailsPage=reviews

2011

Papers in the Web of Science

  • E.Sakyte, R.Palivonaite, A.Aleksa, M.Ragulskis. Image hiding based on near-optimal moire gratings. Optics Communications. ISSN 0030-4018, Elsevier. 2011, vol.284, p.3954-3964.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas. Interpretation of fringes produced by time-averaged projection moire. Strain. ISSN 0039-2103, Blackwell Publishing. 2011, vol.47, p.e357-e370.

    [DOI] [PDF]
  • Z.Navickas, R.Smidtaite, A.Vainoras, M.Ragulskis. The logistic map of matrices. Discrete and Continuous Dynamical Systems-Series B. ISSN 1531-3492, American Institute of Mathematical Sciences. 2011, vol.16(3), p.927-944.

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  • E.Sakyte, M.Ragulskis. Self-calming of a random network of dendritic neurons. Neurocomputing. ISSN 0925-2312, Elsevier. 2011, vol.74(11), p.3912-3920.

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  • M.Ragulskis, Z.Navickas, L.Bikulciene. The solitary solution of the Liouville equation produced by the Exp-function method holds not for all initial conditions. Computers and Mathematics with Applications. ISSN 0898-1221, Elsevier. 2011, vol.62, p367-382.

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  • Z.Navickas, M.Ragulskis, L.Bikulciene. Special solutions of Huxley differential equation. Mathematical Modelling and Analysis. ISSN 1392-6292, Taylor & Francis. 2011, vol.16(2), p.248-259.

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  • M.Ragulskis, K.Lukoseviciute, Z.Navickas, R.Palivonaite. Short-term time series forecasting based on the identification of skeleton algebraic sequences. Neurocomputing. ISSN 0925-2312, Elsevier. 2011, vol. 64(10), p.1735-1747.

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  • M.Ragulskis, Z.Navickas. The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2011, vol.16, p.2894-2906.

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  • L.Saunoriene, M.Ragulskis. A secure steganographic communication algorithm based on self-organizing patterns. Physical Review E. ISSN 1539-3755, American Physical Soc. 2011, vol. 84(5), article no. 056213.

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Book Chapters

  • Editor Dr. Elhadj Zeraoulia. Book title: Models and Applications of Chaos Theory in Modern Sciences. Science Publishers (USA) ISBN 978-1-57808-722-8. May 2011; 770 pages. A New Mechanical Model for Particle Transport by Surface Waves and Applications: M. Ragulskis, E. Sakyte, J.M. Seoane and M.A.F. Sanjuan in Section VII: Models and Applications of Chaos Theory in Mechanical Sciences. http://www.scipub.net/mathematics-and-statistics/models-and-applications-of-chaos-theory.html

  • M.Ragulskis, A.Palevicius, L.Saunoriene. Chapter Title: Hybrid Numerical-Experimental Holographic Interferometry for Investigation of Nonlinearities in MEMS Dynamics, pp. 303-324. Book Title: Holography, Research and Technologies. Editor: Joseph Rosen. ISBN 978-953-307-227-2, Hard cover, 454 pages, Publisher: InTech, February 2011. http://www.intechweb.org/books/show/title/holography-research-and-technologies

Presentations at Conferences

  • V.Petrauskiene, J.Ragulskiene, E.Sakyte, M.Ragulskis. Near-optimal time function for secure dynamic visual cryptography. G. Bebis et al. (Eds.): International Symposium on Visual Computing 2011, Part II, Lecture Notes in Computer Science, Vol. 6939, pp.300–309.

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Other Publications

  • PHYSICS - Spotlighting Exceptional Research. FOCUS: Hiding Secrets in Spontaneous Patterns. Published November 18, 2011. Physics 4, 96 (2011).  http://physics.aps.org/articles/v4/96

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  • A.Aleksa, V.Petrauskiene, M.Ragulskis. Stochastic Time-Averaged Moiré Fringes. WOLFRAM Demonstration Project. The permanent URL for the Demonstration: http://demonstrations.wolfram.com/StochasticTimeAveragedMoireFringes/

2012

Papers in the Web of Science

  • M.Landauskas, M.Ragulskis. Clocking convergence to a stable limit cycle of a periodically driven nonlinear pendulum. Chaos: An Interdisciplinary Journal of Nonlinear Science. SSN 1089-7682, American Institute of Physics. 2012, vol.22, article no. 033138.

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  • Z.Navickas, R.Smidtaite, A.Vainoras, M.Ragulskis. The explosive divergence in iterative maps of matrices. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2012, vol.17(11), p.4430-4438.

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  • M.Ragulskis, Z.Navickas, R.Palivonaite, M.Landauskas. Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2012, vol.17(11), p.4304-4315.

    [DOI] [PDF]
  • V.Petrauskiene, A.Aleksa, A.Fedaravicius, M.Ragulskis. Dynamic visual cryptography for optical control of vibration generation equipment. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2012, vol.50(6), p.869-876.

    [DOI] [PDF]

Presentations at Conferences

  • M.Landauskas, J.Ragulskiene, M.Ragulskis. H-rank as a control tool for discrete dynamical systems. International Conference of Numerical Analysis and Applied MAathematics (ICNAAM 2012), Kos, Greece, Sep. 19-25, 2012, Book Series: AIP Conference Proceedings, vol.: 1479, p.2098-2101.

    [DOI] [PDF]
  • P.Palevicius, L.Saunoriene, M.Ragulskis. A secure communication system based on self-organizing patterns. Proceedings of the 2012 International Conference on Security & Management SAM 2012. Editors K.Daimi, H.R.Arabnia, CSREA Press, p.421-426.

    [PDF]
2013

Papers in the Web of Science

  • Z.Navickas, M.Ragulskis. Comments on "Two exact solutions to the general relativistic Binet's equation". Astrophysics Space Sciences. ISSN: 0004-640X, Springer. 2013, vol.334(2), p.281-285.

    [DOI] [PDF]
  • Z.Navickas, L.Bikulciene, M.Rahula, M.Ragulskis. Algebraic operator method for the construction of solitary solutions to nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2013, vol.18(6), p.1374-1389.

    [DOI] [PDF]
  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Algebraic segmentation of short nonstationary time series based on evolutionary prediction algorithms. Neurocomputing. ISSN 0925-2312, Elsevier. 2013, vol.121, p.354-364.

    [DOI] [PDF]
  • A.Palevicius, M.Ragulskis, G.Janusas. High frequency excitation for thermal imprint of microstructures into a polymer. Experimental techniques. ISSN 0732-8818, Wiley-Blackwell Publishing. 2013, vol.37(5), p.41-47.

    [DOI] [PDF]
  • K.Malinauskas, P.Palevicius, M.Ragulskis, V.Ostasevicius. Validation of noninvasive MOEMS-assisted measurement system based on CCD sensor for radial pulse analysis. Sensors. ISSN 1424-8220, MPDI. 2013, vol.13, p.5368-5380.

    [DOI] [PDF]

Presentations at Conferences

  • M.Landauskas, M.Ragulskis. Clocking convergence to Arnold tongues - the H-rank approach. International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2013), Rhodes, Greece, Sep. 21-27, 2013, Book Series: AIP Conference Proceedings vol.1558, p.2457.

    [DOI] [PDF]
  • R.Palivonaite, A.Fedaravicius, A.Aleksa, M.Ragulskis. Near-optimal moire grating for chaotic dynamic visual cryptography. Lecture Notes in Computer Science, vol. 8237 "Advances in Visual Informatics", Proceedings of the Third International Visual Informatics Conference, 2013, p.48-58.

    [DOI] [PDF]
  • R.Palivonaite, A.Aleksa, M.Ragulskis. Visual Cryptography based on optical image projection. Lecture Notes in Electrical Engineering, vol.152: Innovations and Advances in Computer, Infomation, Systems Sciences, and Engineering. Editors K.Elleithy, T.Sobh. Springer, 2013, part 1, p.431-442.

    [DOI] [PDF]
2014

Papers in the Web of Science

  • Z.Navickas, M.Ragulskis. Comments on "A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method". Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2014, vol.243, p.419-425.

    [DOI] [PDF]
  • P.Ziaukas, T.Ragulskis, M.Ragulskis. Communication scheme based on evolutionary spatial 2x2 games. Physica A: Statistical Mechanics and its Applications. ISSN 0378-4371, Elsevier. 2014, vol.403, p.177-188.

    [DOI] [PDF]
  • V.Petrauskiene, R.Palivonaite, A.Aleksa, M.Ragulskis. Dynamic visual cryptography based on chaotic oscillations. Communications in Nonlinear Science and Numerical Simulation. ISSN:1007-5704, Elsevier. 2014, vol.19(1), p.112-120.

    [DOI] [PDF]
  • R.Palivonaite, M.Ragulskis. Short-term time series algebraic forecasting with internal smoothing. Neurocomputing. ISSN 0925-2312, Elsevier. 2014, vol.127, p161-171.

    [DOI] [PDF]
  • M.Landauskas, M.Ragulskis. A pseudo-stable structure in a completely invertible bouncer system. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2014, vol.78(3), p.1629-1643.

    [DOI] [PDF]
  • V.Petrauskiene, A.Survila, A.Fedaravicius, M.Ragulskis. Dynamic visual cryptography for optical control of chaotic oscillations. Optics & Laser Technology. ISSN: 0030-3992, Elsevier. 2014, vol.57, p.129-135.

    [DOI] [PDF]
  • R.Palivonaite, A.Aleksa, A.Paunksnis, A.Gelzinis and M.Ragulskis. Image hiding in time-averaged deformable moire gratings. Journal of Optics. ISSN 2040-8978, IOPScience. 2014, vol.16, article no. 025401.

    [DOI] [PDF]
  • M.Ragulskis, Hongyuan Jiang, Quan Quan, A.Fedaravicius, Gongnan Xie. Mechatronics and mechanical engineering in cyber-physical systems. Advances in Mechanical Engineering. ISSN 1687-8132, SAGE Publications. 2014, vol.2014, article no:591629.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis, A.Palevicius, V.Ostasevicius. Applicability of time-averaged holography for micro-electro-mechanical system performing non-linear oscillations. Sensors. ISSN 1424-8220, MPDI. 2014, vol.14(1), p.1805-1821.

    [DOI] [PDF]

Presentations at Conferences

  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Algebraic level-set approach for the segmentation of financial time series. A.I. Esparcia-Alcazar et al. (Eds.): EvoApplications 2014, Lecture Notes in Computer Sciences. vol.8602, pp. 239–250, 2014.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis, G.Janusas, A.Palevicius. A technique for the reconstruction of a map of continuous curves from interference fringes. Proc. of SPIE Vol. 9286, 92861G, p.1-8. Second International Conference on Applications of Optics and Photonics, edited by Manuel Filipe P. C. Martins Costa, Rogério Nunes Nogueira, 2014 SPIE. CCC code: 0277-786X/14/$18.

    [DOI] [PDF]
  • T.Ragulskis, V.Ostasevicius, V.Pilkauskas, M.Ragulskis. Communication scheme based on evolutionary spatial games in the cloud computing environment. Transaction on IoT and Cloud Computing. ICAS Publishing. ISSN 2331-4753. 2014, vol.2(3), p.1-10.

    [PDF]
2015

Papers in the Web of Science

  • M.Vaidelys, J.Ragulskiene, S.Aleksiene, M.Ragulskis. Image hiding in time-averaged moiré gratings on finite element grids. Applied Mathematical Modelling. ISSN 0307-904X, Elsevier. 2015, vol.39, p.5783-5790.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis. Image communication scheme based on dynamic visual cryptography and computer generated holography. Optics Communications. ISSN 0030-4018, Elsevier. 2015, vol.335, p.161-167.

    [DOI] [PDF]
  • D.Karaliene, Z.Navickas, R.Ciegis, M.Ragulskis. An extended Prony’s interpolation scheme on an equispaced grid. Open Mathematics. ISSN 2391-5455, De Gruyter. 2015, vol.13, p.333-347.

    [DOI] [PDF]
  • Z.Navickas, T.Telksnys, M.Ragulskis. Comments on "The exp-function method and generalized solitary solutions". Computers and Mathematics With Applications. ISSN 0898-1221, Elsevier. 2015, vol.69, p.798-803.

    [DOI] [PDF]
  • M.Vaidelys, J.Ragulskiene, P.Ziaukas, M.Ragulskis. Image hiding scheme based on the atrial fibrillation model. Applied Sciences. ISSN 2076-3417, MDPI. 2015, vol.5, p.1980-1991.

    [DOI] [PDF]

Book Chapters

  • P.Palevicius, M.Ragulskis, A.Palevicius. Applicability of Time-Averaged Holography for Reliability Assessment of Chemical Sensors. Chapter 17 (pages 193-203). Book Title: "Nanotechnology in the Security Systems" - NATO Science for Peace and Security - Series C - Environmental Security. Edited by J.Bonza and S.Kruchinin. ISBN 978-94-017-9004-8. Springer Science+Business Media, Dordrecht, 2015.

    [PDF]

Presentations at Conferences

  • Z.Navickas, T.Telksnys, M.Ragulskis. Special multiplicative operators for the solution of ODE - invariants and representations. International Journal of Engineering and Technology Innovation. ISSN 2223-5329, TAETI. 2015, vol.5(1), p.01-18.

    [PDF]
2016

Papers in the Web of Science

  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Short-term time series algebraic forecasting with mixed smoothing. Neurocomputing. ISSN 0925-2312, Elsevier, 2016, vol. 171, p. 854-865.

    [DOI] [PDF]
  • Z.Navickas, R.Marcinkevicius, T.Telksnys, M.Ragulskis. Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term. IMA Journal of Applied Mathematics. ISSN 0272-4960, Oxford University Press. 2016, vol. 81, p.1163–1190.

    [DOI] [PDF]
  • T. Telksnys, Z. Navickas, M. Ragulskis, M. Vaidelys. The order of a 2-sequence and the complexity of digital images. Advances in Complex Systems. World Scientific. ISSN: 0219-5259, 2016, vol.19, issue:04n05, article no.1650010 (25 pages).

    [DOI] [PDF]
  • R.Ciegis, V.Starikovicius, N.Tumanova, M.Ragulskis. Application of distributed parallel computing for dynamic visual cryptography. The Journal of Supercomputing. ISSN 0920-8542. 2016, vol.72, p.4204-4220.

    [DOI] [PDF]
  • Z.Navickas, R.Vilkas, T.Telksnys, M.Ragulskis. Direct and inverse relationships between Riccati systems coupled with multiplicative terms. Journal of Biological Dynamics. ISSN 1751-3758 , Taylor and Francis. 2016, vol.10, p 297-313.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, T.Telksnys. Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity. Applied Mathematics and Computation. ISSN 0096-3003, Elsevier, 2016, vol.283, p.333-338.

    [DOI] [PDF]
  • A.P.Fedaravicius, Maosen Cao, M.Ragulskis. Control of a dendritic neuron driven by a phase-independent stimulation. Chaos, Solitons & Fractals, ISSN 0960-0779. Elsevier, 2016, vol. 85, p.77-83.

    [DOI] [PDF]
  • M.Vaidelys, P.Ziaukas, M.Ragulskis. Competitively coupled maps for hiding secret visual information. Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, Elsevier. 2016, vol.443, p.91-97.

    [DOI] [PDF]
  • R.Marcinkevicius, Z.Navickas, M.Ragulskis, T.Telksnys. Solitary solutions to a relativistic two-body problem. Astrophysics and Space Science. ISSN:0004-640X, Springer. 2016, vol. 361:201.

    [DOI] [PDF]
  • Lu C., Wang Y., Ragulskis M., Cheng Y. Fault diagnosis for rotating machinery: A method based on image processing. PLOS ONE. ISSN 1932-6203, Public Library Science. 2016, vol.11(10), article ID: e0164111.

    [DOI] [PDF]
  • M.Ragulskis, L.E.Munoz, R.Burdzik, J.I.Real, W.H.Hsieh, R.Zimroz. Shock and vibration in transportation engineering. Shock and Vibration. ISSN:1875-9203, Hindawi. 2016, vol.2016, article ID:8457605.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, R.Marcinkevicius, T.Telksnys. Generalized solitary waves in nonintegrable KdV equations. Journal of Vibroengineering. ISSN 1392-8716, JVE International, 2016, vol.18(2), p.1270‑1279.

    [DOI] [PDF]
2017

Papers in the Web of Science

  • P.Palevicius, A.Aleksa, R.Maskeliunas, M.Ragulskis. Circular geometric moire for degradation prediction of mechanical components performing angular oscillations. Mechanical Systems and Signal Processing. ISSN 0888-3270, Elsevier. 2017, vol.86(A), p.278-285.

    [DOI] [PDF]
  • M.Vaidelys, Chen Lu, Yujie Cheng, M.Ragulskis. Digital image communication scheme based on the breakup of spiral waves. Physica A: Statistical Mechanics and its Applications. ISSN 0378-4371, Elsevier. 2017, vol.467, p.1-10.

    [DOI] [PDF]
  • M.Landauskas, Z.Navickas, A.Vainoras and M.Ragulskis. Weighted moving averaging revisited - an algebraic approach. Computational and Applied Mathematics. ISSN 0101-8205, Springer. 2017, vol.36(4), p.1545-1558.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, R.Marcinkevicius, T.Telksnys. Kink solitary solutions to generalized Riccati equations with polynomial coefficients. Journal of Mathematical Analysis and Applications. ISSN 0022-247X, Elsevier. 2017, vol.448(1), p.156-170.

    [DOI] [PDF]
  • P.Ziaukas, M.Ragulskis. Fractal dimension and Wada measure revisited: no straightforward relationships in NDDS. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2017, vol.88, p.871-882.

    [DOI] [PDF]
  • Z. Navickas, M. Ragulskis, N. Listopadskis, T. Telksnys. Comments on "Soliton solutions to fractional-order nonlinear differential equations based on the exp-function method". Optik - International Journal for Light and Electron Optics. ISSN: 0030-4026, Elsevier. 2017, vol.132, p.223-231.

    [DOI] [PDF]
  • M.Ragulskis, Lu Chen, G.Song, A.El Sinawi. Intelligent fault diagnosis based on vibration signal analysis. Shock and Vibration. ISSN:1875-9203, Hindawi. 2017, vol.2017, article ID 9186989.

    [DOI] [PDF]
  • P.Ziaukas, A.Alabdulgader, A.Vainoras, Z.Navickas, M.Ragulskis. New approach for visualization of relationships between RR and JT intervals. PLoS ONE. ISSN 1932-6203, Public Library Science. 2017, vol.12(4). article ID e0174279.

    [DOI] [PDF]
  • Z.Navickas, T.Telksnys, R.Marcinkevicius, M.Ragulskis. Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations. Chaos Solitons and Fractals. ISSN 0960-0779, Elsevier. 2017, vol.104, p.625-634.

    [DOI] [PDF]
  • I.Timofejeva, R.McCraty, M.Atkinson, R.Joffe, A.Vainoras, A.Alabdulgader, M.Ragulskis. Identification of a group's physiological synchronization with Earth's magnetic field. International Journal of Environmental Research and Public Health. ISSN 1660-4601, MDPI. 2017, vol.14(9), article ID: 998.

    [DOI] [PDF]
  • R.McCraty, M.Atkinson, V.Stolc, A.Alabdulgader, A.Vainoras, M.Ragulskis. Synchronization of human autonomic nervous system rhythms with geomagnetic activity in human subjects. International Journal of Environmental Research and Public Health. ISSN 1660-4601, MDPI. 2017, vol.14(7), article ID: 770.

    [DOI] [PDF]
  • L.Saunoriene, S.Aleksiene, R.Maskeliunas, M.Ragulskis. Image hiding scheme based on time-averaged elliptic oscillations. Optics and Lasers in Engineering, ISSN 0143-8166, Elsevier. 2017, vol.98, p.83-88.

    [DOI] [PDF]
  • Mao-Sen Cao, Yu-Juan Ding, Wei-Xin Ren, Quan Wang, M.Ragulskis, Zhi-Chun Ding. Hierarchical wavelet-aided neural intelligent identification of structural damage in noisy conditions. Applied Sciences. MDPI, ISSN 2076-3417. 2017, vol. 7(4), article ID: 391 (20 pages).

    [DOI] [PDF]
2018

Papers in the Web of Science

  • Laifa Tao, Chao Yang, Yujie Cheng, Chen Lu, M.Ragulskis. Machine component health prognostics with only truncated histories using geometrical metric approach. Mechanical Systems and Signal Processing. ISSN 0888-3270, Elsevier. 2018, vo.113, p.168-179.

    [DOI] [PDF]
  • Guangqing Lu, L.Saunoriene, S.Aleksiene, M.Ragulskis. Optical image hiding based on chaotic vibration of deformable moire grating. Optics Communications. ISSN 0030-4018, Elsevier, 2018, vol.410, p.457-467.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, D.Karaliene, T.Telksnys. Weak and strong orders of linear recurring sequences. Computational and Applied Mathematics. ISSN 0101-8205, Springer. 2018, vol.37(3) p. 3539-3561.

    [DOI] [PDF]
  • K.Lukoseviciute, R.Baubliene, D.Howard, M.Ragulskis. Bernstein polynomials for adaptive evolutionary prediction of short-term time series. Applied Soft Computing. ISSN 1568-4946, Elsevier. 2018, vol. 65, p. 47-57.

    [DOI] [PDF]
  • T.Telksnys, Z.Navickas, R.Marcinkevicius, M.Ragulskis. Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling. Applied Mathematics and Computation. ISSN 0096-3003. Elsevier. 2018, vol.320, p.380-388.

    [DOI] [PDF]
  • A.Alabdulgader, R.McCraty, M.Atkinson, Y.Dobyns, A.Vainoras, M.Ragulskis, V. Stolc. Long-term study of heart rate variability responses to changes in the solar and geomagnetic environment. Scientific Reports. ISSN 2045-2322. Nature Publishing Group. 2018, article no. 2663. 

    [DOI] [PDF]
  • I.Timofejeva, K.Poskuviene, Maosen Cao, M.Ragulskis. Synchronization measure based on a geometric approach to attractor embedding using finite observation windows. Complexity. ISSN 1099-0526, Hindawi. 2018, article ID: 8259496.

    [DOI] [PDF]
  • Mei Tao, K.Poskuviene, N.F.Alkayem, Maosen Cao, M.Ragulskis. Permutation entropy based on non-uniform embedding. Entropy. ISSN 1099-4300, MDPI. 2018, vol. 20(8), article ID: 612.

    [DOI] [PDF]
  • Guangqing Lu, R.Smidtaite, Z.Navickas, M.Ragulskis. The effect of explosive divergence in a coupled map lattice of matrices. Chaos Solitons and Fractals. ISSN 0960-0779, Elsevier, 2018, vol.113, p.308-313.

    [DOI]
  • Guangqing Lu, M.Landauskas, M.Ragulskis. Control of divergence in an extended invertible logistic map. International Journal of Bifurcation and Chaos. ISSN 0218-1274, World Scientific, 2018, vol.28(10), article no.1850129.

    [DOI] [PDF]
  • N.F.Alkayem, Maosen Cao, M.Ragulskis. Damage diagnosis in 3D structures using a novel hybrid multi-objective optimization and FE model updating framework. Complexity. ISSN 1099-0526, Hindawi. 2018, article ID 3541676.

    [DOI] [PDF]
  • Guangqing Lu, A.Cereska, G.Augustinavicius, R.Maskeliunas, M.Ragulskis. Intelligent control and performance evaluation of a novel precise positioning stage. Journal of Intelligent and Fuzzy Systems. ISSN 1064-1246, IOS Press. 2018, Accepted article in press.

  • Guangqing Lu, L.Saunoriene, A.Gelzinis, V.Petrauskiene, M.Ragulskis. Visual integration of vibrating images in time. Optical Engineering. ISSN 0091-3286, SPIE. 2018, vol.57(9), article no.093107.

    [DOI] [PDF]
  • Z.Navickas, T.Telksnys, I.Timofejeva, R.Marcinkevicius, M.Ragulskis. An operator-based approach for the construction of closed-form solutions to fractional differential equations. Mathematical Modelling and Analysis. ISSN 1392-6292, Taylor and Francis. 2018, vol.23(4), p.665-685.

    [DOI] [PDF]

Book Chapters

  • A.Palevicius, G.Janusas, M.Ragulskis, G.Amer. Design, Analysis and Application of Dynamic Visual Cryptography for Visual Inspection of Biomedical Systems. Chapter 17, p.223-232, 2018. NATO Science for Peace and Security Series A: Chemistry and Biology. DOI: 10.1007/978-94-024-1304-5_17. In book: Nanostructured Materials for the Detection of CBRN. (352 pages) Book edited by Janez Bonca, Sergei Kruchinin. Springer Science+Business Media B.V.

By topic

Applied Mechanical Engineering

Papers in the Web of Science

  • [PDF]
  • R.Bansevicius, A.Fedaravicius, V.Ostasevicius, M.Ragulskis. Development of laser rifle trainer with full shot Imitation. Shock and Vibration. ISSN 1070-9622, IOS Press. 2004, vol.11(2), p.81-88.

  • M.Ragulskis, L.Ragulskis. Conjugate approximation with smoothing for hybrid photoelastic and FEM analysis. Communications in Numerical Methods in Engineering. ISSN 1069-8299. John Wiley & Sons. 2004, vol. 20(8), p.647-653.

    [DOI] [PDF]
  • M.Ragulskis. Coexisting attractors and their control in rotary motion transfer mechanism. Journal of Vibration and Control. ISSN 1077-5463. Sage Publications, 2004, vol. 10, p. 101-113. DOI: 10.1177/107754604031475

    [DOI] [PDF]
  • M.Ragulskis, R.Maskeliunas. Measurement of transverse vibrations of piezoelectric ceramics by atomic force microscopy. Experimental Techniques. ISSN 0732-8818, Wiley. 2006, vol.30(2), p.37-41.

    [DOI] [PDF]
  • M.Ragulskis, A.Fedaravicius, K.Ragulskis. Harmonic balance method for FEM analysis of fluid flow in a vibrating pipe. Communications in Numerical Methods in Engineering. ISSN 1069-8299, Wiley. 2006, vol.22(4), p.347-356.

    [DOI] [PDF]
  • V.Kravcenkiene, A.Aleksa, M.Ragulskis, R.Maskeliunas. Choice of smoothing parameter using photo-elastic coatings. Journal of Mechanical Engineering. ISSN 0039-2480, Universitas Labacensis. 2006, vol.52(4), p.237-241.

    [PDF]
  • M.Ragulskis, A.Bubulis, K.Ragulskis. Numerical procedure for fluid flow in a pipe performing transverse oscillations. Communications in Numerical Methods in Engineering. ISSN 1069-8299, John Wiley & Sons. 2007, vol.23, p.335-343.

    [DOI] [PDF]
  • A.Fedaravicius, V.Jonevicius, M.Ragulskis. Development of mortar simulator with shell-in-shell system – problem of external ballistics. Shock and Vibration. ISSN 1070-9622, IOS Press. 2007, vol.14(5), p.371-376.

  • A.Palevicius, M.Ragulskis, G.Janusas. High frequency excitation for thermal imprint of microstructures into a polymer. Experimental techniques. ISSN 0732-8818, Wiley-Blackwell Publishing. 2013, vol.37(5), p.41-47.

    [DOI] [PDF]
  • M.Ragulskis, Hongyuan Jiang, Quan Quan, A.Fedaravicius, Gongnan Xie. Mechatronics and mechanical engineering in cyber-physical systems. Advances in Mechanical Engineering. ISSN 1687-8132, SAGE Publications. 2014, vol.2014, article no:591629.

    [DOI] [PDF]
  • Lu C., Wang Y., Ragulskis M., Cheng Y. Fault diagnosis for rotating machinery: A method based on image processing. PLOS ONE. ISSN 1932-6203, Public Library Science. 2016, vol.11(10), article ID: e0164111.

    [DOI] [PDF]
  • M.Ragulskis, L.E.Munoz, R.Burdzik, J.I.Real, W.H.Hsieh, R.Zimroz. Shock and vibration in transportation engineering. Shock and Vibration. ISSN:1875-9203, Hindawi. 2016, vol.2016, article ID:8457605.

    [DOI] [PDF]
  • P.Palevicius, A.Aleksa, R.Maskeliunas, M.Ragulskis. Circular geometric moire for degradation prediction of mechanical components performing angular oscillations. Mechanical Systems and Signal Processing. ISSN 0888-3270, Elsevier. 2017, vol.86(A), p.278-285.

    [DOI] [PDF]
  • M.Ragulskis, Lu Chen, G.Song, A.El Sinawi. Intelligent fault diagnosis based on vibration signal analysis. Shock and Vibration. ISSN:1875-9203, Hindawi. 2017, vol.2017, article ID 9186989.

    [DOI] [PDF]
  • Mao-Sen Cao, Yu-Juan Ding, Wei-Xin Ren, Quan Wang, M.Ragulskis, Zhi-Chun Ding. Hierarchical wavelet-aided neural intelligent identification of structural damage in noisy conditions. Applied Sciences. MDPI, ISSN 2076-3417. 2017, vol. 7(4), article ID: 391 (20 pages).

    [DOI] [PDF]
  • Laifa Tao, Chao Yang, Yujie Cheng, Chen Lu, M.Ragulskis. Machine component health prognostics with only truncated histories using geometrical metric approach. Mechanical Systems and Signal Processing. ISSN 0888-3270, Elsevier. 2018, vo.113, p.168-179.

    [DOI] [PDF]
  • Guangqing Lu, A.Cereska, G.Augustinavicius, R.Maskeliunas, M.Ragulskis. Intelligent control and performance evaluation of a novel precise positioning stage. Journal of Intelligent and Fuzzy Systems. ISSN 1064-1246, IOS Press. 2018, Accepted article in press.

Presentations at Conferences

  • A.Fedaravicius, M.Ragulskis, Z.Klimavicius. Computational support of the development of a mortar simulator with re-usable shells. 2nd International Conference on Computational Ballistics, MAY 18-20, 2005. WIT Transactions on Modelling and Simulation, vol.40, p.381-389, WIT Press, ISSN 1743-355X.

  • M.Ragulskis, V.Ostasevicius, A.Aleksa, A.Palevicius. Hybrid numerical-experimental technique of transverse vibration of fluid in tube. Proceedings of FEDSM2007: 5th Joint ASME/JSME Fluids Engineering Conference, July 30 - August 2, 2007, San Diego, California, USA. - ISBN 0-7918-3805-6. - New York, 2007, p.[1-4].

    [DOI]
  • R.P.Bansevičius, A.Lipnickas, M.Ragulskis. New type of multi-degree-of-freedom piezoelectric actuators, based on active kinematic pairs. ICINCO 2009: Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics, July 2-5, 2009, Milan, Italy. Vol. 2. Robotics and Automation. Setsbal : INSTICC, 2009, p.159-164.

    [PDF]
Applied Optics

Papers in the Web of Science

  • M.Ragulskis, R.Maskeliunas, L.Ragulskis. Plotting moire fringes for circular structures from FEM results. Experimental Techniques. ISSN 0732-8818, Wiley. 2002, vol.26(1), p.31-35.

    [DOI] [PDF]
  • M.Ragulskis, A.Palevicius, L.Ragulskis. Plotting holographic interferograms for visualisation of dynamic results from finite element calculations. International Journal for Numerical Methods in Engineering. ISSN 0029-5981, John Wiley & Sons. 2003, vol.56, p.1647-1659.

    [DOI] [PDF]
  • M.Ragulskis, L.Ragulskis. Plotting isoclinics for hybrid photoelasticity and finite element analysis. Experimental Mechanics. ISSN 0014-4851, Sage Science Press. 2004, vol.44(3), p.235-240.

    [DOI] [PDF]
  • M.Ragulskis, L.Ragulskis, R.Maskeliunas. Applicability of time average geometric moire for vibrating elastic structures. Experimental Techniques. ISSN 0732-8818, Wiley. 2004, vol.28(4), p.27-30.

    [DOI] [PDF]
  • M.Ragulskis, L.Ragulskis. On interpretation of fringe patterns produced by time average photoelasticity. Experimental Techniques. ISSN 0732-8818, Wiley. 2005, vol.29(3), p.48-51.

    [DOI] [PDF]
  • M.Ragulskis, R.Maskeliunas, L.Saunoriene. Identification of in-plane vibrations using time average stochastic moiré. Experimental Techniques. ISSN 0732-8818, Wiley. 2005, vol.29(6), p.41-45.

    [DOI] [PDF]
  • M.Ragulskis, R.Maskeliunas, L.Ragulskis, V.Turla. Investigation of dynamic displacements of lithographic press rubber roller by time average geometric moire. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2005, vol.43(4), p.951-962.

    [DOI]
  • V.Ostasevicius, S.Tamulevicius, A.Palevicius, M.Ragulskis, R.Palevicius, V.Grigaliunas. Hybrid numerical—experimental approach for investigation of dynamics of microcantilever relay system. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2005, vol.43(1), p.63-73.

    [DOI] [PDF]
  • .Ostasevicius, S.Tamulevicius, A. Palevicius, M.Ragulskis, V.Grigaliunas, V.Minialga. Synergy of Contact and Non-Contact Techniques for Design and Characterization of Vibrating MOEMS Elements. Journal of Microlithography, Microfabrication, and Microsystems. ISSN 1932-5150, SPIE. 2005, vol. 4(4), article no. 041602.

    [DOI]
  • M.Ragulskis, A.Palevicius, L.Ragulskis, A.Fedaravicius. Applicability of time average fluid holography for analysis of propagating waves. Optical Engineering. ISSN 0091-3286, SPIE. 2005, vol. 44(10), article no. 105801.

    [DOI]
  • M.Ragulskis, L.Saunoriene. Applicability of optical geometric differentiation for time-average geometric moiré. Strain. ISSN 0039-2103.- 2006, Vol. 42(3), p. 173-179.

    [DOI] [PDF]
  • M.Ragulskis, L.Saunoriene, J.Ragulskiene. Interpretation of fringes produced by time average reflection moire on a circular disk. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2006, vol.44(11), p.1209-1218.

    [DOI] [PDF]
  • M.Ragulskis, A.Palevicius, L.Ragulskis, A.Bubulis. Generalised Abel transform for the analysis of fluid vibration in a tube. Optical Engineering. ISSN 0091-3286, SPIE. 2007, vol.46(6), 065801.

    [DOI]
  • M.Ragulskis, A.Aleksa, L.Saunoriene. Improved algorithm for image encryption based on stochastic geometric moire and its application. Optics Communications. ISSN 0030-4018, Elsevier. 2007, vol.273(2), p.370-378.

    [DOI] [PDF]
  • M.Ragulskis, A.Aleksa. Image hiding based on time-averaging moire. Optics Communications. ISSN 0030-4018, Elsevier,.2009, vol.282, p.2752-2759.

    [DOI] [PDF]
  • M.Ragulskis, A.Aleksa, R.Maskeliunas. Contrast enhancement of time averaged fringes based on moving average mapping functions. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2009, vol. 47(7-8), p.768-773.

    [DOI] [PDF]
  • M.Ragulskis, L.Saunoriene, R.Maskeliunas. The structure of moire grating lines and influence to time averaged fringes. Experimental Techniques. ISSN 0732-8818, Wiley-Blackwell Publishing. 2009, vol. march/april, p.60-64.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas. Time average moire - back to the basics. Experimental Mechanics. ISSN 0014-4851, Springer. 2009, vol.49(8), p.439-450.

    [DOI] [PDF]
  • M.Ragulskis, A.Aleksa, Z.Navickas. Image hiding based on time-averaged fringes produced by non-harmonic oscillations. Journal of Optics A: Pure and Applied Optics. ISSN 1464-4258, Institute of Physics Publishing. 2009, vol.11(12), article no. 125411.

    [DOI] [PDF]
  • E.Sakyte, R.Palivonaite, A.Aleksa, M.Ragulskis. Image hiding based on near-optimal moire gratings. Optics Communications. ISSN 0030-4018, Elsevier. 2011, vol.284, p.3954-3964.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas. Interpretation of fringes produced by time-averaged projection moire. Strain. ISSN 0039-2103, Blackwell Publishing. 2011, vol.47, p.e357-e370.

    [DOI] [PDF]
  • V.Petrauskiene, A.Aleksa, A.Fedaravicius, M.Ragulskis. Dynamic visual cryptography for optical control of vibration generation equipment. Optics and Lasers in Engineering. ISSN 0143-8166, Elsevier. 2012, vol.50(6), p.869-876.

    [DOI] [PDF]
  • K.Malinauskas, P.Palevicius, M.Ragulskis, V.Ostasevicius. Validation of noninvasive MOEMS-assisted measurement system based on CCD sensor for radial pulse analysis. Sensors. ISSN 1424-8220, MPDI. 2013, vol.13, p.5368-5380.

    [DOI] [PDF]
  • V.Petrauskiene, R.Palivonaite, A.Aleksa, M.Ragulskis. Dynamic visual cryptography based on chaotic oscillations. Communications in Nonlinear Science and Numerical Simulation. ISSN:1007-5704, Elsevier. 2014, vol.19(1), p.112-120.

    [DOI] [PDF]
  • V.Petrauskiene, A.Survila, A.Fedaravicius, M.Ragulskis. Dynamic visual cryptography for optical control of chaotic oscillations. Optics & Laser Technology. ISSN: 0030-3992, Elsevier. 2014, vol.57, p.129-135.

    [DOI] [PDF]
  • R.Palivonaite, A.Aleksa, A.Paunksnis, A.Gelzinis and M.Ragulskis. Image hiding in time-averaged deformable moire gratings. Journal of Optics. ISSN 2040-8978, IOPScience. 2014, vol.16, article no. 025401.

    [DOI] [PDF]
  • M.Vaidelys, J.Ragulskiene, S.Aleksiene, M.Ragulskis. Image hiding in time-averaged moiré gratings on finite element grids. Applied Mathematical Modelling. ISSN 0307-904X, Elsevier. 2015, vol.39, p.5783-5790.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis. Image communication scheme based on dynamic visual cryptography and computer generated holography. Optics Communications. ISSN 0030-4018, Elsevier. 2015, vol.335, p.161-167.

    [DOI] [PDF]
  • M.Vaidelys, J.Ragulskiene, P.Ziaukas, M.Ragulskis. Image hiding scheme based on the atrial fibrillation model. Applied Sciences. ISSN 2076-3417, MDPI. 2015, vol.5, p.1980-1991.

    [DOI] [PDF]
  • R.Ciegis, V.Starikovicius, N.Tumanova, M.Ragulskis. Application of distributed parallel computing for dynamic visual cryptography. The Journal of Supercomputing. ISSN 0920-8542. 2016, vol.72, p.4204-4220.

    [DOI] [PDF]
  • Z. Navickas, M. Ragulskis, N. Listopadskis, T. Telksnys. Comments on "Soliton solutions to fractional-order nonlinear differential equations based on the exp-function method". Optik - International Journal for Light and Electron Optics. ISSN: 0030-4026, Elsevier. 2017, vol.132, p.223-231.

    [DOI] [PDF]
  • L.Saunoriene, S.Aleksiene, R.Maskeliunas, M.Ragulskis. Image hiding scheme based on time-averaged elliptic oscillations. Optics and Lasers in Engineering, ISSN 0143-8166, Elsevier. 2017, vol.98, p.83-88.

    [DOI] [PDF]
  • Guangqing Lu, L.Saunoriene, S.Aleksiene, M.Ragulskis. Optical image hiding based on chaotic vibration of deformable moire grating. Optics Communications. ISSN 0030-4018, Elsevier, 2018, vol.410, p.457-467.

    [DOI] [PDF]
  • Guangqing Lu, L.Saunoriene, A.Gelzinis, V.Petrauskiene, M.Ragulskis. Visual integration of vibrating images in time. Optical Engineering. ISSN 0091-3286, SPIE. 2018, vol.57(9), article no.093107.

    [DOI] [PDF]

Book Chapters

  • M.Ragulskis. Applicability of time average stochastic moire for cryptographic applications. Experimental Analysis of Nano and Engineering Materials and Structures. ISBN 978-1-4020-6238-4. Amsterdam: Springer, 2007, p.335-336.

  • Loreta Saunoriene, Minvydas Ragulskis. Algorithms and Techniques for Time-Averaged Moiré Fringes. LAP Lambert Academic Publishing. 2010, Saarbrücken. ISBN 978-3-8383-5700-3, paperback, 148 Pages.

  • M.Ragulskis, A.Palevicius, L.Saunoriene. Chapter Title: Hybrid Numerical-Experimental Holographic Interferometry for Investigation of Nonlinearities in MEMS Dynamics, pp. 303-324. Book Title: Holography, Research and Technologies. Editor: Joseph Rosen. ISBN 978-953-307-227-2, Hard cover, 454 pages, Publisher: InTech, February 2011. http://www.intechweb.org/books/show/title/holography-research-and-technologies

  • P.Palevicius, M.Ragulskis, A.Palevicius. Applicability of Time-Averaged Holography for Reliability Assessment of Chemical Sensors. Chapter 17 (pages 193-203). Book Title: "Nanotechnology in the Security Systems" - NATO Science for Peace and Security - Series C - Environmental Security. Edited by J.Bonza and S.Kruchinin. ISBN 978-94-017-9004-8. Springer Science+Business Media, Dordrecht, 2015.

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  • A.Palevicius, G.Janusas, M.Ragulskis, G.Amer. Design, Analysis and Application of Dynamic Visual Cryptography for Visual Inspection of Biomedical Systems. Chapter 17, p.223-232, 2018. NATO Science for Peace and Security Series A: Chemistry and Biology. DOI: 10.1007/978-94-024-1304-5_17. In book: Nanostructured Materials for the Detection of CBRN. (352 pages) Book edited by Janez Bonca, Sergei Kruchinin. Springer Science+Business Media B.V.

Presentations at Conferences

  • M.Ragulskis, V.Kravcenkiene. Adaptive conjugate smoothing of discontinuous fields. Lecture Notes in Computer Science. Numerical Analysis and Its Applications: Third International Conference. Springer Verlag. 2005, vol.3401-0463, p.463-470.

    [PDF]
  • L.Ragulskis, M.Ragulskis, A.Palevicius, et al. Shearographic technique for NDE analysis of high frequency bending vibrations of microstructures. 3rd Conference on Testing, Reliability, and Application of Micro and Nano-Material Systems, Proc. SPIE. MAR 08-10, 2005, p.118-125, 2005.

    [DOI]
  • V.Ostasevicius, N.Gitis, A.Palevicius, M.Ragulskis, S.Tamulevicius. Hybrid experimental-numerical full-field displacement evaluation for characterization of micro-scale components of mechatronic systems. Solid State Phenomena. ISSN 1662-9779, Scientific Net. 2006, vol.113, p.73-78.

    [DOI] [PDF]
  • L.Saunoriene, M.Ragulskis, A.Palevicius, V.Ostasevicius, G.Janusas. Hybrid numerical-experimental moire technique for analysis of microstructures. Proc. SPIE 6345, Seventh International Conference on Vibration Measurements by Laser Techniques: Advances and Applications, 2006, article no. 634511.

    [DOI]
  • M.Ragulskis, L.Saunoriene. Order adaptive quadrature rule for real time holography applications. In: Boyanov T., Dimova S., Georgiev K., Nikolov G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. ISSN 0302-9743, Springer. 2007, vol.4310, p.685-692.

    [DOI] [PDF]
  • R.Bansevicius, A.Busilas, M.Ragulskis, A.Palevicius, V.Ostasevicius. Development and experimental analysis of piezoelectric optical scanner based on FEM and laser holography. IMAC-XXV: a conference & exposition on structural dynamics, February 19-22, 2007, Orlando, Florida, USA - ISBN 0-912053-96-8. 2007, p.1-8.

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  • M.Ragulskis, E.Sakytė, A.Palevičius, R.Bendikienė. Thermo photo elasticity: hybrid numerical experimental approach for investigation smart structures. Proceedings of SPIE: Modeling, Signal Processing, and Control for Smart Structures 2009. Bellingham, vol. 7286, article no. 728608.

    [DOI]
  • A.Algiment, M.Ragulskis, A.Palevičius, J.Ragulskienė. Adaptive conjugate smoothing of digital images using photo-elastic coatings. Proceedings of SPIE: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2009. Bellingham, vol.7292, article no. 72924B

    [DOI]
  • V.Petrauskiene, J.Ragulskiene, E.Sakyte, M.Ragulskis. Near-optimal time function for secure dynamic visual cryptography. G. Bebis et al. (Eds.): International Symposium on Visual Computing 2011, Part II, Lecture Notes in Computer Science, Vol. 6939, pp.300–309.

    [PDF]
  • R.Palivonaite, A.Fedaravicius, A.Aleksa, M.Ragulskis. Near-optimal moire grating for chaotic dynamic visual cryptography. Lecture Notes in Computer Science, vol. 8237 "Advances in Visual Informatics", Proceedings of the Third International Visual Informatics Conference, 2013, p.48-58.

    [DOI] [PDF]
  • R.Palivonaite, A.Aleksa, M.Ragulskis. Visual Cryptography based on optical image projection. Lecture Notes in Electrical Engineering, vol.152: Innovations and Advances in Computer, Infomation, Systems Sciences, and Engineering. Editors K.Elleithy, T.Sobh. Springer, 2013, part 1, p.431-442.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis, G.Janusas, A.Palevicius. A technique for the reconstruction of a map of continuous curves from interference fringes. Proc. of SPIE Vol. 9286, 92861G, p.1-8. Second International Conference on Applications of Optics and Photonics, edited by Manuel Filipe P. C. Martins Costa, Rogério Nunes Nogueira, 2014 SPIE. CCC code: 0277-786X/14/$18.

    [DOI] [PDF]

Other Publications

  • A.Aleksa, M.Ragulskis. Time-Averaged Moiré Fringes. Wolfram demonstration. http://demonstrations.wolfram.com/TimeAveragedMoireFringes/

  • M.Ragulskis, A.Aleksa, J.Ragulskiene. Image hiding based on circular moire fringes. WSEAS Transactions on Mathematics. ISSN 1109-2769, WSEAS. 2010, vol.9(2), p.90-99.

  • A.Aleksa, V.Petrauskiene, M.Ragulskis. Stochastic Time-Averaged Moiré Fringes. WOLFRAM Demonstration Project. The permanent URL for the Demonstration: http://demonstrations.wolfram.com/StochasticTimeAveragedMoireFringes/

Mathematical Modelling in Biomedicine

Papers in the Web of Science

  • Z.Navickas, R.Vilkas, T.Telksnys, M.Ragulskis. Direct and inverse relationships between Riccati systems coupled with multiplicative terms. Journal of Biological Dynamics. ISSN 1751-3758 , Taylor and Francis. 2016, vol.10, p 297-313.

    [DOI] [PDF]
  • I.Timofejeva, R.McCraty, M.Atkinson, R.Joffe, A.Vainoras, A.Alabdulgader, M.Ragulskis. Identification of a group's physiological synchronization with Earth's magnetic field. International Journal of Environmental Research and Public Health. ISSN 1660-4601, MDPI. 2017, vol.14(9), article ID: 998.

    [DOI] [PDF]
  • R.McCraty, M.Atkinson, V.Stolc, A.Alabdulgader, A.Vainoras, M.Ragulskis. Synchronization of human autonomic nervous system rhythms with geomagnetic activity in human subjects. International Journal of Environmental Research and Public Health. ISSN 1660-4601, MDPI. 2017, vol.14(7), article ID: 770.

    [DOI] [PDF]
  • A.Alabdulgader, R.McCraty, M.Atkinson, Y.Dobyns, A.Vainoras, M.Ragulskis, V. Stolc. Long-term study of heart rate variability responses to changes in the solar and geomagnetic environment. Scientific Reports. ISSN 2045-2322. Nature Publishing Group. 2018, article no. 2663. 

    [DOI] [PDF]

Presentations at Conferences

  • J.Ragulskiene, E.Sakyte, M.Ragulskis. Traveling wave electrophoresis - construction of numerical model. International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics Proceedings, vol.1048, p.450-453.

    [DOI]
Nonlinear Dynamics and Chaos

Papers in the Web of Science

  • M.Ragulskis, K.Koizumi. Applicability of attractor control techniques for a particle conveyed by a propagating wave. Journal of Vibration and Control. ISSN 1077-5463, Sage Publications. 2004, vol.10(7), p.1057-1071.

    [DOI] [PDF]
  • M.Ragulskis, K.Ragulskis. The effect of dynamical self-orientation and its applicability for identification of natural frequencies. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2007, vol.50(1-2), p.61-71.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas. Hash function construction based on time average moiré. Discrete and Continuous Dynamical Systems-Series B. ISSN 1531-3492, American Institute of Mathematical Sciences. 2007, vol.8(4), p.1007-1020.

    [DOI] [PDF]
  • M.Ragulskis, M.Sanjuan, L.Saunoriene. Applicability of time average moire techniques for chaotic oscillations. Physical Review E. ISSN 1539-3755, American Physical Soc. 2007, vol. 76, article no. 036208.

    [DOI] [PDF]
  • M.Ragulskis, M.A.F.Sanjuan. Chaotic pattern of unsmoothed isochromatics around the regions of concentrated stresses. Computers and Graphics. ISSN 0097-8493, Elsevier. 2008, vol.31(1), p.116-119.

    [DOI] [PDF]
  • M.Ragulskis, M.A.F.Sanjuan. Transport of particles by surface waves: a modification of the classical bouncer model. New Journal of Physics. ISSN 1367-2630, Institute of Physics. 2008, issue 10, article No.083017.

    [DOI] [PDF]
  • M.Ragulskis, K.Ragulskis. Algorithm for analysis of periodic oscillations of structural systems with geometric nonlinearity. Communications in Numerical Methods in Engineering. ISSN 1069-8299, John Wiley & Sons. 2008, vol.24(12), p.1863-1871.

    [DOI] [PDF]
  • M.Ragulskis. Time-averaged patterns produced by stochastic moiré gratings. Computers and Graphics. ISSN 0097-8493, Elsevier. 2009, vol.33(2), p.147-150.

    [DOI] [PDF]
  • M.Ragulskis, E.Sakyte. An explicit equation for the dynamics of a particle conveyed by a propagating wave. Mathematical and Computer Modelling of Dynamical Systems. ISSN 1387-3954, Taylor & Francis. 2009, vol.15(4), p.395-405.

    [DOI] [PDF]
  • M.Ragulskis, E.Sakyte, J.Seaone, M.A.F. Sanjuan. A new mechanical model for particle transport by surface waves and applications. Mathematical Problems in Engineering. ISSN 1024-123X, Hindawi Publishing Corporation. 2009, vol.2009, article ID 731358, 17 pages.

    [DOI] [PDF]
  • Z.Navickas, R.Smidtaite, A.Vainoras, M.Ragulskis. The logistic map of matrices. Discrete and Continuous Dynamical Systems-Series B. ISSN 1531-3492, American Institute of Mathematical Sciences. 2011, vol.16(3), p.927-944.

    [DOI] [PDF]
  • E.Sakyte, M.Ragulskis. Self-calming of a random network of dendritic neurons. Neurocomputing. ISSN 0925-2312, Elsevier. 2011, vol.74(11), p.3912-3920.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas. The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2011, vol.16, p.2894-2906.

    [DOI] [PDF]
  • L.Saunoriene, M.Ragulskis. A secure steganographic communication algorithm based on self-organizing patterns. Physical Review E. ISSN 1539-3755, American Physical Soc. 2011, vol. 84(5), article no. 056213.

    [DOI] [PDF]
  • M.Landauskas, M.Ragulskis. Clocking convergence to a stable limit cycle of a periodically driven nonlinear pendulum. Chaos: An Interdisciplinary Journal of Nonlinear Science. SSN 1089-7682, American Institute of Physics. 2012, vol.22, article no. 033138.

    [DOI] [PDF]
  • Z.Navickas, R.Smidtaite, A.Vainoras, M.Ragulskis. The explosive divergence in iterative maps of matrices. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2012, vol.17(11), p.4430-4438.

    [DOI] [PDF]
  • M.Ragulskis, Z.Navickas, R.Palivonaite, M.Landauskas. Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2012, vol.17(11), p.4304-4315.

    [DOI] [PDF]
  • P.Ziaukas, T.Ragulskis, M.Ragulskis. Communication scheme based on evolutionary spatial 2x2 games. Physica A: Statistical Mechanics and its Applications. ISSN 0378-4371, Elsevier. 2014, vol.403, p.177-188.

    [DOI] [PDF]
  • M.Landauskas, M.Ragulskis. A pseudo-stable structure in a completely invertible bouncer system. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2014, vol.78(3), p.1629-1643.

    [DOI] [PDF]
  • P.Palevicius, M.Ragulskis, A.Palevicius, V.Ostasevicius. Applicability of time-averaged holography for micro-electro-mechanical system performing non-linear oscillations. Sensors. ISSN 1424-8220, MPDI. 2014, vol.14(1), p.1805-1821.

    [DOI] [PDF]
  • T. Telksnys, Z. Navickas, M. Ragulskis, M. Vaidelys. The order of a 2-sequence and the complexity of digital images. Advances in Complex Systems. World Scientific. ISSN: 0219-5259, 2016, vol.19, issue:04n05, article no.1650010 (25 pages).

    [DOI] [PDF]
  • A.P.Fedaravicius, Maosen Cao, M.Ragulskis. Control of a dendritic neuron driven by a phase-independent stimulation. Chaos, Solitons & Fractals, ISSN 0960-0779. Elsevier, 2016, vol. 85, p.77-83.

    [DOI] [PDF]
  • M.Vaidelys, P.Ziaukas, M.Ragulskis. Competitively coupled maps for hiding secret visual information. Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, Elsevier. 2016, vol.443, p.91-97.

    [DOI] [PDF]
  • M.Vaidelys, Chen Lu, Yujie Cheng, M.Ragulskis. Digital image communication scheme based on the breakup of spiral waves. Physica A: Statistical Mechanics and its Applications. ISSN 0378-4371, Elsevier. 2017, vol.467, p.1-10.

    [DOI] [PDF]
  • P.Ziaukas, M.Ragulskis. Fractal dimension and Wada measure revisited: no straightforward relationships in NDDS. Nonlinear Dynamics. ISSN 0924-090X, Springer. 2017, vol.88, p.871-882.

    [DOI] [PDF]
  • P.Ziaukas, A.Alabdulgader, A.Vainoras, Z.Navickas, M.Ragulskis. New approach for visualization of relationships between RR and JT intervals. PLoS ONE. ISSN 1932-6203, Public Library Science. 2017, vol.12(4). article ID e0174279.

    [DOI] [PDF]
  • I.Timofejeva, K.Poskuviene, Maosen Cao, M.Ragulskis. Synchronization measure based on a geometric approach to attractor embedding using finite observation windows. Complexity. ISSN 1099-0526, Hindawi. 2018, article ID: 8259496.

    [DOI] [PDF]
  • Mei Tao, K.Poskuviene, N.F.Alkayem, Maosen Cao, M.Ragulskis. Permutation entropy based on non-uniform embedding. Entropy. ISSN 1099-4300, MDPI. 2018, vol. 20(8), article ID: 612.

    [DOI] [PDF]
  • Guangqing Lu, R.Smidtaite, Z.Navickas, M.Ragulskis. The effect of explosive divergence in a coupled map lattice of matrices. Chaos Solitons and Fractals. ISSN 0960-0779, Elsevier, 2018, vol.113, p.308-313.

    [DOI]
  • Guangqing Lu, M.Landauskas, M.Ragulskis. Control of divergence in an extended invertible logistic map. International Journal of Bifurcation and Chaos. ISSN 0218-1274, World Scientific, 2018, vol.28(10), article no.1850129.

    [DOI] [PDF]
  • N.F.Alkayem, Maosen Cao, M.Ragulskis. Damage diagnosis in 3D structures using a novel hybrid multi-objective optimization and FE model updating framework. Complexity. ISSN 1099-0526, Hindawi. 2018, article ID 3541676.

    [DOI] [PDF]

Book Chapters

  • Editor Dr. Elhadj Zeraoulia. Book title: Models and Applications of Chaos Theory in Modern Sciences. Science Publishers (USA) ISBN 978-1-57808-722-8. May 2011; 770 pages. A New Mechanical Model for Particle Transport by Surface Waves and Applications: M. Ragulskis, E. Sakyte, J.M. Seoane and M.A.F. Sanjuan in Section VII: Models and Applications of Chaos Theory in Mechanical Sciences. http://www.scipub.net/mathematics-and-statistics/models-and-applications-of-chaos-theory.html

Presentations at Conferences

  • M.Landauskas, J.Ragulskiene, M.Ragulskis. H-rank as a control tool for discrete dynamical systems. International Conference of Numerical Analysis and Applied MAathematics (ICNAAM 2012), Kos, Greece, Sep. 19-25, 2012, Book Series: AIP Conference Proceedings, vol.: 1479, p.2098-2101.

    [DOI] [PDF]
  • P.Palevicius, L.Saunoriene, M.Ragulskis. A secure communication system based on self-organizing patterns. Proceedings of the 2012 International Conference on Security & Management SAM 2012. Editors K.Daimi, H.R.Arabnia, CSREA Press, p.421-426.

    [PDF]
  • M.Landauskas, M.Ragulskis. Clocking convergence to Arnold tongues - the H-rank approach. International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2013), Rhodes, Greece, Sep. 21-27, 2013, Book Series: AIP Conference Proceedings vol.1558, p.2457.

    [DOI] [PDF]
  • T.Ragulskis, V.Ostasevicius, V.Pilkauskas, M.Ragulskis. Communication scheme based on evolutionary spatial games in the cloud computing environment. Transaction on IoT and Cloud Computing. ICAS Publishing. ISSN 2331-4753. 2014, vol.2(3), p.1-10.

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Other Publications

  • M.Ragulskis, Z.Navickas, L.Saunorienė, K.Lukoseviciute. Construction of cryptographic hash functions based on time average chaotic map. Journal of Applied Functional Analysis. ISSN 1559-1948, Eudoxus Press LLC. 2009, vol.4(4), p.611-622.

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  • M.Ragulskis. Book Review solicited by the Publisher. RECENT PROGRESS IN CONTROLLING CHAOS edited by Miguel A.F. Sanjuan and Celso Grebogi. 2010, 431 pp., ISBN-13 978-981-4291-69-9; ISBN-10 981-4291-69-2. World Scientific Publishing. Series on Stability Vibration and Control of Systems, Series B - Vol. 16. http://www.worldscibooks.com/chaos/7563.html

  • M.Ragulskis. Book Review solicited by the Publisher. CHAOS IN STRUCTURAL MECHANICS by Awrejcewicz J. and Krysko V.A.. 1st Edition., 2008, XIII, 424 p. 195 illus., Hardcover, ISBN: 978-3-540-77675-8. Springer. Series: Understanding Complex Systems. http://www.springer.com/engineering/book/978-3-540-77675-8?detailsPage=reviews

  • PHYSICS - Spotlighting Exceptional Research. FOCUS: Hiding Secrets in Spontaneous Patterns. Published November 18, 2011. Physics 4, 96 (2011).  http://physics.aps.org/articles/v4/96

    [DOI]
Solitary Solutions to Nonlinear PDE

Papers in the Web of Science

  • Z.Navickas, M.Ragulskis. How far one can go with the Exp function method? Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2009, vol.211(2), p.522-530.

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  • Z.Navickas, M.Ragulskis, L.Bikulciene. Be careful with the Exp-function method - additional remarks. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2010, vol.15, p.3874-3886.

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  • Z.Navickas, L.Bikulciene, M.Ragulskis. Generalization of Exp-function and other standard function based methods. Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2010, vol.216(8), p.2380-2393.

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  • M.Ragulskis, Z.Navickas, L.Bikulciene. The solitary solution of the Liouville equation produced by the Exp-function method holds not for all initial conditions. Computers and Mathematics with Applications. ISSN 0898-1221, Elsevier. 2011, vol.62, p367-382.

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  • Z.Navickas, M.Ragulskis, L.Bikulciene. Special solutions of Huxley differential equation. Mathematical Modelling and Analysis. ISSN 1392-6292, Taylor & Francis. 2011, vol.16(2), p.248-259.

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  • Z.Navickas, M.Ragulskis. Comments on "Two exact solutions to the general relativistic Binet's equation". Astrophysics Space Sciences. ISSN: 0004-640X, Springer. 2013, vol.334(2), p.281-285.

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  • Z.Navickas, L.Bikulciene, M.Rahula, M.Ragulskis. Algebraic operator method for the construction of solitary solutions to nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation. ISSN 1007-5704, Elsevier. 2013, vol.18(6), p.1374-1389.

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  • Z.Navickas, M.Ragulskis. Comments on "A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method". Applied Mathematics and Computations. ISSN 0096-3003, Elsevier. 2014, vol.243, p.419-425.

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  • Z.Navickas, T.Telksnys, M.Ragulskis. Comments on "The exp-function method and generalized solitary solutions". Computers and Mathematics With Applications. ISSN 0898-1221, Elsevier. 2015, vol.69, p.798-803.

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  • Z.Navickas, R.Marcinkevicius, T.Telksnys, M.Ragulskis. Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term. IMA Journal of Applied Mathematics. ISSN 0272-4960, Oxford University Press. 2016, vol. 81, p.1163–1190.

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  • Z.Navickas, M.Ragulskis, T.Telksnys. Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity. Applied Mathematics and Computation. ISSN 0096-3003, Elsevier, 2016, vol.283, p.333-338.

    [DOI] [PDF]
  • R.Marcinkevicius, Z.Navickas, M.Ragulskis, T.Telksnys. Solitary solutions to a relativistic two-body problem. Astrophysics and Space Science. ISSN:0004-640X, Springer. 2016, vol. 361:201.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, R.Marcinkevicius, T.Telksnys. Generalized solitary waves in nonintegrable KdV equations. Journal of Vibroengineering. ISSN 1392-8716, JVE International, 2016, vol.18(2), p.1270‑1279.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, R.Marcinkevicius, T.Telksnys. Kink solitary solutions to generalized Riccati equations with polynomial coefficients. Journal of Mathematical Analysis and Applications. ISSN 0022-247X, Elsevier. 2017, vol.448(1), p.156-170.

    [DOI] [PDF]
  • Z.Navickas, T.Telksnys, R.Marcinkevicius, M.Ragulskis. Operator-based approach for the construction of analytical soliton solutions to nonlinear fractional-order differential equations. Chaos Solitons and Fractals. ISSN 0960-0779, Elsevier. 2017, vol.104, p.625-634.

    [DOI] [PDF]
  • T.Telksnys, Z.Navickas, R.Marcinkevicius, M.Ragulskis. Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling. Applied Mathematics and Computation. ISSN 0096-3003. Elsevier. 2018, vol.320, p.380-388.

    [DOI] [PDF]
  • Z.Navickas, T.Telksnys, I.Timofejeva, R.Marcinkevicius, M.Ragulskis. An operator-based approach for the construction of closed-form solutions to fractional differential equations. Mathematical Modelling and Analysis. ISSN 1392-6292, Taylor and Francis. 2018, vol.23(4), p.665-685.

    [DOI] [PDF]

Presentations at Conferences

  • Z.Navickas, T.Telksnys, M.Ragulskis. Special multiplicative operators for the solution of ODE - invariants and representations. International Journal of Engineering and Technology Innovation. ISSN 2223-5329, TAETI. 2015, vol.5(1), p.01-18.

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Time Series Analysis

Papers in the Web of Science

  • M.Ragulskis, L.Ragulskis. Order adaptive integration rule with equivalently weighted internal nodes. Engineering Computations. ISSN 0264-4401, Emerald Publishing. 2006, vol.23(4), p.368-381.

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  • M.Ragulskis, L.Saunoriene. Generalisations of compound trapeziodal rule. Applied Numerical Mathematics. ISSN 0168-9274, Elsevier. 2008, vol.58(1), p.40-58.

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  • M.Ragulskis, K.Lukoseviciute. Non-uniform attractor embedding for time series forecasting by fuzzy inference systems. Neurocomputing. ISSN 0925-2312, Elsevier. 2009, vol.72(10-12), p.2618-2626.

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  • K.Lukoseviciute, M.Ragulskis. Evolutionary algorithms for the selection of time lags for time series forecasting by fuzzy inference systems. Neurocomputing. ISSN 0925-2312, Elsevier. 2010, vol.73, p.2077-2088.

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  • M.Ragulskis, K.Lukoseviciute, Z.Navickas, R.Palivonaite. Short-term time series forecasting based on the identification of skeleton algebraic sequences. Neurocomputing. ISSN 0925-2312, Elsevier. 2011, vol. 64(10), p.1735-1747.

    [DOI] [PDF]
  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Algebraic segmentation of short nonstationary time series based on evolutionary prediction algorithms. Neurocomputing. ISSN 0925-2312, Elsevier. 2013, vol.121, p.354-364.

    [DOI] [PDF]
  • R.Palivonaite, M.Ragulskis. Short-term time series algebraic forecasting with internal smoothing. Neurocomputing. ISSN 0925-2312, Elsevier. 2014, vol.127, p161-171.

    [DOI] [PDF]
  • D.Karaliene, Z.Navickas, R.Ciegis, M.Ragulskis. An extended Prony’s interpolation scheme on an equispaced grid. Open Mathematics. ISSN 2391-5455, De Gruyter. 2015, vol.13, p.333-347.

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  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Short-term time series algebraic forecasting with mixed smoothing. Neurocomputing. ISSN 0925-2312, Elsevier, 2016, vol. 171, p. 854-865.

    [DOI] [PDF]
  • M.Landauskas, Z.Navickas, A.Vainoras and M.Ragulskis. Weighted moving averaging revisited - an algebraic approach. Computational and Applied Mathematics. ISSN 0101-8205, Springer. 2017, vol.36(4), p.1545-1558.

    [DOI] [PDF]
  • Z.Navickas, M.Ragulskis, D.Karaliene, T.Telksnys. Weak and strong orders of linear recurring sequences. Computational and Applied Mathematics. ISSN 0101-8205, Springer. 2018, vol.37(3) p. 3539-3561.

    [DOI] [PDF]
  • K.Lukoseviciute, R.Baubliene, D.Howard, M.Ragulskis. Bernstein polynomials for adaptive evolutionary prediction of short-term time series. Applied Soft Computing. ISSN 1568-4946, Elsevier. 2018, vol. 65, p. 47-57.

    [DOI] [PDF]

Presentations at Conferences

  • J.Ragulskienė, K.Lukoseviciūte, M.Ragulskis. Near-optimal embedding by genetic algorithms for time series prediction. International Conference on Numerical Analysis and Applied Mathematics 2009, Vol. 1, September 18-22, 2009, Rethymno, Crete, Greece. Melville, New York : American Institute of Physics, 2009, p. 148-151.

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  • R.Palivonaite, K.Lukoseviciute, M.Ragulskis. Algebraic level-set approach for the segmentation of financial time series. A.I. Esparcia-Alcazar et al. (Eds.): EvoApplications 2014, Lecture Notes in Computer Sciences. vol.8602, pp. 239–250, 2014.

    [DOI] [PDF]

Editorial work

Official reviewer

Special issues

2014
M.Ragulskis (Lead Guest Editor). Special Issue "Mechatronics and Mechanical Engineering in Cyber-Physical Systems". [66 manuscripts]. Advances in Mechanical Engieering, ISSN: 1687-8140, Hindawi Publishing, vol. 2014. https://mts.hindawi.com/lead.guest.editor/journals/ame/mesp/
2016
M.Ragulskis (Lead Guest Editor). Special Issue "Shock and vibration in transportation engineering". [53 manuscripts]. Shock and Vibration. ISSN:1875-9203, Hindawi Publishing. vol.2016. https://mts.hindawi.com/lead.guest.editor/journals/sv/svte/
2017
M.Ragulskis (Lead Guest Editor). Special Issue "Intelligent Fault Diagnosis Based on Vibration Signal Analysis". [51 manuscripts]. Shock and Vibration. ISSN:1875-9203, Hindawi Publishing. vol.2017. https://mts.hindawi.com/lead.guest.editor/journals/sv/ifdv/
2018
M.Ragulskis (Guest Editor). Special Issue "Intelligent Computing and Smart Systems, Big Data, and Signal Processing". Computers & Electrical Engineering. ISSN:0045-7906, Elsevier. https://www.sciencedirect.com/journal/computers-and-electrical-engineering/special-issue/10ZZL6QZ3D5
2018
M.Ragulskis (Lead Guest Editor). Special Issue "Fault Identification, Diagnosis, and Prognostics Based on Complex Signal Analysis". [25 manuscripts]. Complexity. ISSN:1099-0526, Hindawi Publishing. vol.2018. https://mts.hindawi.com/lead.guest.editor/journals/complexity/fid/
2019
M.Ragulskis (Guest Editor). Special Issue "Selected Papers from IMETI 2018". Applied Sciences. ISSN:2076-3417, MDPI. http://www.mdpi.com/journal/applsci/special_issues/imeti_2018applsci

Invited, Keynote or Plenary Speaker

2010
M.Ragulskis (Invited Keynote Speaker) 3ICCSMS - The 3rd International Congress COMPLEX SYSTEMS IN MEDICINE AND SPORT, Kaunas, Lithuania. September 15-18, 2010.
2011
M.Ragulskis (Invited Session Chair) KES'2011. Invited Session: Time Series Prediction Based on Fuzzy and Neural Networks. - 15th Internatioanl Conference on Knowledge based Engineering Systems, Kaiserslautern, Germany. 12-14 September 2011.
2012
M.Ragulskis (Invited Plenary Speaker) AMATH'12 - 17th International Conference on Applied Mathematics, Montreux, Switzerland. December 29-31, 2012.
2013
M.Ragulskis (Keynote Speaker) MSM-2013 - The 9th International Conference Mechatronic Systems and Materials, Vilnius, Lithuania. 1–3 July, 2013.
2014
M.Ragulskis (Invited Keynote Speaker) "Dynamic visual cryptography - theory and applications" ICETI 2014 - The 3-rd International Conference on Engineering and Technology Innovation, Kenting, Taiwan. October 31 - November 04, 2014.
2015
M.Ragulskis (Invited Keynote Speaker) "Dynamic Visual Cryptography for Fault Identification in Vibrating Micromechanical Structures" - International Conference on Reliability Systems Engineering & 2015 Prognostics and System Health Management Conference. Beijing, China, October 21-23, 2015.
2016
M.Ragulskis (Invited Keynote Speaker) "Identification on clusters in a trial group of persons based on their cardiac intervals and magnetic field data" - 8th international workshop Data Analysis Methods for Software Systems. Druskininkai, Lithuania, December 1-3, 2016.
2017
M.Ragulskis (Invited Keynote Speaker) "Self-organizing patterns for digital image hiding and communication" - International Multi-Conference on Engineering and Technology Innovation 2017, IMETI2017, Hualien, Taiwan, 27-31 October, 2017.
2018
M.Ragulskis (Plenary Speaker) "Evolutionary optimization in algebraic time series prediction - problems and applications" - International Conference on Machine Learning and Data Engineering, iCMLDE 2018, Sydney, Australia, 03-07 December, 2018.

Editorial Boards

Journal of Vibroengineering ISSN 1392-8716 (since 1999)
Journal of Measurements in Engineering ISSN 2335-2124 (since 2012)
Mathematical Models in Engineering ISSN 2351-5279 (since 2015)
Mathematical Modelling and Analysis ISSN 1392-6292 (since 2014)
The Open Numerical Methods Journal ISSN 1876-3898 (2009 - 2012) Discontinued
Vibroengineering Procedia ISSN 2345-0533 (since 2013)
International Journal of Engineering and Technology Innovation ISSN 2223-5329 (since 2013)
Journal of Computational Engineering ISSN 2356-7260 (since 2015)
Dyagnostyka ISSN 1641-6414 (since 2014)

Graduate students

Official Supervisor for graduate students

Since 2014
Sandra Aleksiene (09P - Informatics, Physical Sciences)
Since 2015
Tadas Telksnys (09P - Informatics, Physical Sciences)
Since 2017
Vaiva Siauciunaite (09P - Informatics, Physical Sciences)

Graduate students that successfully defended their Ph.D. thesis

2018
Martynas Vaidelys. Title of Thesis: Self-organizing patterns in information hiding applications. ( 09P Informatics, Physical Sciences)
2016
Mantas Landauskas. Title of Thesis: H-ranks for investigation of nonlinear and chaotic systems. ( 09P Informatics, Physical Sciences)
2015
Rita Palivonaite. Title of Thesis: Chaotic visual cryptography. ( 09P Informatics, Physical Sciences)
2015
Paulius Palevicius. Title of Thesis: Interferometric techniques for investigation of dynamical processes in microsystems. ( 09T Mechanical Engineering, Technological Sciences)
2014
Vilma Petrauskiene. Title of Thesis: Dynamic visual cryptography based on non-linear oscillations. ( 09T Mechanical Engineering, Technological Sciences)
2012
Kristina Lukoseviciute. Title of Thesis: Chaotic embedding and algebraic models for time series forecasting. ( 09P Informatics, Physical Sciences)
2010
Algiment Aleksa. Title of Thesis: Dynamic visual cryptography – the method and algorithmic realization. ( 09P Informatics, Physical Sciences)
2008
Violeta Kravcenkiene. Title of Thesis: Adaptive conjugate smoothing in hybrid numerical-experimental environments. ( 09P Informatics, Physical Sciences)
2007
Loreta Saunoriene. Title of Thesis: Time-averaged moiré techniques for nonlinear dynamical systems. ( 09P Informatics, Physical Sciences)

Doctoral Defense Committees

2002
M.Ragulskis (Opponent). Author: Vytautas Bucinskas. Title of Thesis: Investigation of characteristics of rolling ring drive with changable pitch. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2002.
2003
M.Ragulskis (Opponent). Author: Rima Kregzdyte. Title of Thesis: Statistical models of environmental pollution by heavy metals on health indices. Discipline: Biomedicine (10B). Degree Level: Doctoral. University: Kaunas University of Medicine. Defence Date: 2003.
2006
M.Ragulskis (Opponent). Author: Vitas Lendraitis. Title of Thesis: Development and investigation of membranous nanopositioning microactuator. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2006.
2009
M.Ragulskis (Doctoral dissertation committee member). Author: Gintare Leonaite. Title of Thesis: Analytical investigation of delay systems. Discipline: Informatics (09P). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2009.
2009
M.Ragulskis (Doctoral dissertation committee member). Author: Asta Kabelkaite. Title of Thesis: Investigation of influence of the running direction of paper and cardboard and defects of material to the eigenmodes of vibrations. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2009.
2010
M.Ragulskis (Doctoral dissertation committee member). Author: Inga Dulkiniene. Title of Thesis: The evaluation of the complexity of cardiovascular system parameters when performing physical tasks. Discipline: Biology (01B). Degree Level: Doctoral. University: Kaunas University of Medicine. Defense Date: 2010.
2010
M.Ragulskis (Opponent). Author: Martynas Patasius. Title of Thesis: Automated analysis of eye fundus images. Discipline: Informatics Engineering (07T). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2010
2010
M.Ragulskis (Scientific Consultant). Author: Ruta Rimasauskiene. Title of Thesis: Research and Development of the flow control devices with piezo actuators. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2010.
2011
M.Ragulskis (Opponent). Author: Darius Rudinskas. Title of Thesis: Design of an unmanned aerial vehicle flight parameter data transmission safety method. Discipline: Measurement Engineering (10T). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2011.
2012
M.Ragulskis (Doctoral dissertation committee member). Author: Natalija Tumanova. Title of Thesis: The numerical analysis of nonlinear mathematical models on graphs. Discipline: Mathematics (01P). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2012.
2012
M.Ragulskis (Doctoral dissertation committee member). Author: Sandra Bardauskiene. Title of Thesis: Short-term fasting on functional parameters of the cardiovascular system. Discipline: Nursing (10B). Degree Level: Doctoral. University: Lithuanian University of Health Sciences. Defense Date: 2012.
2013
M.Ragulskis (Doctoral dissertation committee member). Author: Ivan Suzdalev. Title of Thesis: Artificial neural networks to updrafts localization and forecasting. Discipline: Measurement Engineering. Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2013.
2013
M.Ragulskis (Doctoral dissertation committee member). Author: Vytautas Aseris. Title of Thesis: Computational modelling of biosensors utilizing intermediate substances. Discipline: Physical Sciences, Informatics (09P). Degree Level: Doctoral. University: Vilnius University. Defense Date: 2013.
2014
M.Ragulskis (Doctoral dissertation committee member). Author: Vytautas Rimsa. Title of Thesis: Discrete model of the particulate composite. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2014.
2014
M.Ragulskis (Doctoral dissertation committee member). Author: Mindaugas Skujus. Title of Thesis: Asymptotic conditions at infinity for the time-periodic Stokes problem set in domains with cylindrical outlets to infinity. Discipline: Mathematics (01P). Degree Level: Doctoral. University: Vilnius University. Defense Date: 2014.
2014
M.Ragulskis (Opponent). Author: Giedre Talateviciene. Title of Thesis: Changes of electrocardiographic parameters and their dynamic concatenations during whole-body cryotherapy and peliodotherapy procedures. Discipline: Nursing (10B). Degree Level: Doctoral. University: Lithuanian University of Health Sciences. Defense Date: 2014.
2014
M.Ragulskis (Doctoral dissertation committee member). Author: Saulius Pilkavicius. Title of Thesis: Modelling study of mechanical behavior of concrete-to-rebar bond under tension. Discipline: Mechanical Engineering (09T). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2014.
2014
M.Ragulskis (Doctoral dissertation committee member). Author: Olga Lavcel-Budko. Title of Thesis: The investigation of resonant interaction of some mathematical model of nonlinear waves. Discipline: Mathematics (01P). Degree Level: Doctoral. University: Vilnius Gediminas Technical University. Defense Date: 2014.
2015
M.Ragulskis (Dissertation Defense Board member). Author: Aleksejus Michalkovic. Title of Dissertation: Asymetric encryption system based on non-commuting algebraic systems creation and investigation. Discipline: Informatics (07T). Degree Level: Doctoral. University: Kaunas University of Technology. Defense Date: 2015.
2016
M.Ragulskis (Foreign Evaluator). Author: Alvar Daza Estaban. Title of Dissertation: Unpredictability and fractality in nonlinear dynamics. Discipline: Physics. Degree Level: Ph.D. University: University Rey Juan Carlos, Spain. Defense Date: 2016.
2017
M.Ragulskis (Dissertation Defense Board member). Author: Gintare Vaideliene. Title of Dissertation: Wavelet-based approach to the detection of defects in texture images: theoretical and practical aspects. Discipline: Physical Sciences, Informatics (09P). Degree Level: Doctoral. University: Kaunas University of Technology and Vytautas Magnus University. Defense Date: 2017.
2017
M.Ragulskis (Chairman of the Dissertation Defense Board). Author: Andrius Krisciunas. Title of Dissertation: Development of highly convergent numerical algorithms for short elastic wave simulation. Discipline: Physical Sciences, Informatics (09P). Degree Level: Doctoral. University: Kaunas University of Technology and Vytautas Magnus University. Defense Date: 2017.
2017
M.Ragulskis (Chairman of the Dissertation Defense Board). Author: Dalia Calneryte. Title of Dissertation: Development of multi-scale models for dynamic analysis of unidirectional composite textiles. Discipline: Physical Sciences, Informatics (09P). Degree Level: Doctoral. University: Kaunas University of Technology and Vytautas Magnus University. Defense Date: 2017.
2018
M.Ragulskis (Chairman of the Dissertation Defense Board). Author: Darius Zizys. Title of Dissertation: Investigation and optimization of autonomous energy sources operating in higher transverse vibration modes. Discipline: Technological Sciences, Mechanical Engineering (09T). Degree Level: Doctoral. University: Kaunas University of Technology and Aleksandras Stulginskis University. Defense Date: 2018.
2018
M.Ragulskis (Dissertation Defense Board member). Author: Justinas Rackauskas. Title of Dissertation: Magnetomechanical study of open-bore two-rail electromagnetic launcher. Discipline: Technological Sciences, Mechanical Engineering (09T). Degree Level: Doctoral. University: Vilnius Gedinimas Technical University. Defense Date: 2018.
2018
M.Ragulskis (Chairman of the Dissertation Defense Board). Author: Audrius Neciunas. Title of Dissertation: Algorithms of numerical simulation of elastic waves propagating in dissipative environments. Discipline: Physical Sciences, Informatics (09P). Degree Level: Doctoral. University: Kaunas University of Technology, Vytautas Magnus University and Vilnius Gedinimas Technical University. Defense Date: 2018.
2018
M.Ragulskis (Foreign Evaluator). Author: Ruben Capeans Rivas. Title of Dissertation: New Developments in the Partial Control of Chaotic Systems. Discipline: Physics. Degree Level: Ph.D. University: University Rey Juan Carlos, Spain. Defense Date: 2018.

Research interests

Introduction

Phase control of dendrytic neural networks, evolutionary algorithms for time series forecasting, dynamic visual cryptography, adaptive quadratures for realtime applications, non-uniform embeddings in multi-dimensional phase spaces, chaotic time-averaged moire fringes – is there anything in common among these diverse fields? The answer is a definite Yes. It all perfectly fits into the interests of the Research Group for Mathematical and Numerical Analysis of Dynamical Systems Nonlinear dynamical systems and chaos play an important role in many areas of science and engineering. Thus it is quite natural that our research interests are quite wide. Moreover, a healthy balance between rigorous theoretical analysis and practical applications produces fruitful results. In general, research directions in our Group can be conditionally classified into four subject areas: optics, numerical methods, cryptography and nonlinear dynamics. Though some aspects of different subject areas are highly intertwined, separate classification can help to crystallize the essential qualifiers of the each subject area.

Modelling of Optical Effects

Optics has traditionally been an important research area for our Group. Our field in optics could be shortly described as modelling of optical effects in virtual computational environments. The utilization of three basic components – numerical models of elastic dynamically interacting bodies, a physical model describing interference effects occurring whenever optical whole field fringe based experimental techniques are used to investigate these bodies, and the construction of digital graphical representations helps to mimic realistic optical processes taking place in those systems. And not only – such tools help to interpret complex optical phenomena and help to develop new measurement techniques.
We managed to propose several new measurement techniques and improvements of existing measurement techniques – time average photoelasticity; time average stochastic moire; time average geometric super moire; the generalization of Abel transform for vibrating tubes; corrections of classical formulas describing time average projection moire and time average geometric moire. The range of investigated systems is quite wide: from MEMS up to fluids, membranes, or bodies with fractal surface geometry. Investigations of optical phenomena originated new numerical cryptographic methods and initiated the development of specialized numerical techniques.

Development of Numerical Methods

We have been always heavily dependent on the development of novel numerical methods for the visualization of optical effects. One of the important results in this area worth noting is a new method based on conjugate smoothing used to represent a discontinuous field on a finite element mesh. Since our main interest lies in dynamical systems, time-averaging operators play an important role in our research (these operators also lead to applications in cryptography). We have proposed new quadrature rules which are especially effective in real time computational experiments.
A new numerical technique for time series forecasting based on fuzzy inference systems produced by symbolic multiplicative operator techniques. The employment of this criterion also gives an answer on the structure of the solution – contrary to the exp-function method where the structure of the solution is initially guessed and only then symbolic computations are used to identify the necessary parameters. Our technique provides a deeper insight into the structure of the original differential equation.

Visual Cryptography

Visual Cryptography (VC) is a cryptographic technique which allows visual information (pictures, text, etc.) to be encrypted in such way that the decryption can be performed by the human visual system, without the aid of computers. Classical VC is developed in the nineties and is based on a visual secret sharing scheme, where an image was broken up into n shares so that only someone with all n shares could decrypt the image, while any n−1 share revealed no information about the original image. Numerous modifications and advancements of the method have been proposed so far: halftone VC, colored VC, secret sharing schemes without pixel expansion, polynomial style sharing, multiple secrets schemes, circular VC, progressive image sharing, etc.
We have proposed a new concept of Dynamic VC. It is a one share method; the secret is encoded into a single image. The secret can be leaked only when this image is oscillated into a predefined direction at predefined amplitude. We exploit the inability of human visual system to follow rapid oscillatory motion and exploit the optical moiré phenomenon to form the secret in the time-averaged image. The security of the encryption can be increased if a non-harmonic moiré grating is used to form the image.
Another important development in the area of cryptography is a new class of hash functions based on time-averaging moiré operators. Special properties of algebras of moiré grating functions and time-averaging operators enabled to construct efficient one-way collision-free hash functions. The functional principle of these hash functions is based on the inherent ill-posed inverse problem which is in its turn based on optical moiré phenomena.

Nonlinear Dynamical Systems and Chaos

Since the title of our research group is Mathematical and Numerical Analysis of Dynamical Systems, dynamical systems traditionally occupy an important part of our research. Attractor control strategies based on small external impulses have been developed for adaptive control of particles in a field of propagating waves; for particles and films conveyed by an undulating membrane; for the parametric identification of complex systems. The bouncing ball model was generalized for Rayleigh surface waves; for electrophoresis and control of biomedical particles. The principles of the developed attractor control techniques are used to control chaotic networks of neurons with dendrytic dynamics.

Results and Future Trends

Our Group has originated a number of interesting solutions, methods and applications. We have developed the concept of dynamic visual cryptography which is a new branch in the science of digital image security. Our fuzzy time series forecasting methods based on the optimal attractor embedding outperform state-of-the-art predictors for such benchmark tests as Mackey-Glass series. We have developed an analytical criterion which determines if solution of nonlinear differential equation can be expressed in a form comprising finite number of standard functions; moreover, this criterion generates the structure of the solution automatically and outperforms homotopy perturbation methods. As mentioned previously, all these developments are closely related and originated by the theory of nonlinear dynamical systems and chaos.
Modelling of optical effects in virtual computational environments, novel numerical techniques and applications, dynamic visual cryptography, control and characterization of chaotic nonlinear systems build the ground for new challenging possibilities in mathematical and numerical analysis of dynamical systems.