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TUL - Division of Dynamics

Professor Tomasz Kapitaniak

A+ / A-

Head of Division

Professor of Nonlinear Dynamics
Corresponding Member of the Polish Academy of Sciences

DoB: April 27, 1959
Technical University of Lodz
Division of Dynamics
ul. Stefanowskiego 1/15
90-924 Lodz
Poland
tel. +4842 6312231
e-mail: T Kapitaniak
personal webpage: kapitaniak.kdm.p.lodz.pl



Summary

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Higher Education and Qualifications
  • Faculty of Mechanical Engineering, Technical University of Lodz, M.Sc. in mechanics, 1982
  • Faculty of Mathematics, Physics and Chemistry, University of Lodz, M.Sc. in applied mathematics, 1985
  • Faculty of Mechanical Engineering, Technical University of Lodz, Ph.D. in mechanics, 1985
  • Faculty of Mechanical Engineering, Technical University of Lodz, D.Sc. in mechanics, 1988
  • Professor of technical science, title given by the President of Poland, 1995
Awards and Distinctions
  • 1989 Awarded the British Council Fellowship, The British Council, Warsaw
  • 1989 Award of the Minister of Higher Education and Technology
  • 1990 Awarded the King Abdul Aziz Award Fellowship, King Abdul Aziz City for Science and Technology, Riyadh, Saudi Arabia
  • 1993 Awarded the Silver Cross of Merit, The President of Poland
  • 1995 Award of the Minister of National Education
  • 1997 Awarded the Fulbright Fellowship, The Fulbright Commision, Warsaw
  • 2000 Awarded the Golden Cross of Merit, The President of Poland
  • 2001 Awarded the Degree of Honorary Professor, Scientific Council of Saratov State University, Saratov
  • 2001 Honorary Professor, College of Engineering, University of Aberdeen, Aberdeen (Scotland) to 2004
  • 2006 Award of the Minister of Science and Higher Education
Employment History and Work Experience
  • 1983-89 Lecturer in mechanics, Faculty of Mechanical Engineering, Technical University of Lodz
  • 1989-92 Associate Professor of mechanics, Faculty of Mechanical Engineering, Technical University of Lodz
  • 1989-91 Visiting Research Professor, Department of Applied Mathematical Studies, University of Leeds
  • Since 1992 Professor of mechanics, Faculty of Mechanical Engineering, Technical University of Lodz
  • Since 1992 Head of the Division of Dynamics, Technical University of Lodz
  • 1993, 1994 Visiting Professor, Department of Mechanics, Royal Institute of Technology, Stockholm
  • 1996-99 Vice-dean of the Faculty of Mechanical Engineering
  • 1997 Visiting Research Professor, Department of Applied Mathematical Studies, University of Leeds
  • 1998 Visiting Research Professor, Institute for Plasma Research, University of Maryland, College Park
Research Interests
  • Mechanical oscillations
  • Nonlinear systems
  • Stability
  • Bifurcations and chaos
  • Stochastic dynamics
  • Mathematical modeling
  • Ordinary differential equations
  • Vibro-impact systems
  • Applications of nonlinear dynamics in mechanical engineering
Postgraduate/Postdoctoral Supervision
  • 1993 Jerzy Wojewoda, Division of Control and Dynamics, University of Strathclyde - 1993 (co-adviser R. Barron)
  • 1994 Anton van Wyk, Department of Nonlinear Dynamics, Rand Afrikaans University - 1994 (co-adviser W.-H. Steeb)
  • 1995 Barbara Blazejczyk-Okolewska, Faculty of Mechanical Engineering, Technical University of Lodz
  • 1996 Andrzej Stefanski, Faculty of Mechanical Engineering, Technical University of Lodz
  • 1997 Andrzej Kozlowski, Faculty of Mechanical Engineering, Technical University of Lodz
  • 1997 Przemyslaw Szuminski, Faculty of Mechanical Engineering, Technical University of Lodz
International Collaborations
  • Professor R.L. Viana, Departamento de Física, Universidade Federal do Paraná, Curitiba, Paraná, Brazil
  • Professor Leon O. Chua, Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA
  • Professor Marian Wiercigroch, Department of Engineering, University of Aberdeen, Scotland, UK
  • Professor John Brindley, Department of Applied Mathematical Studies, University of Leeds, Leeds, UK
  • Professor Ying-Cheng Lai, Department of Electrical Engineering, Arizona State University, USA
  • Professor Celso Grebogi, Department of Physics, University Aberdeen, Scotland, UK
  • Professor Vadim Anishchenko, Saratov State University, Saratov, Russia
  • Professor Yuri Maistrenko, Institute of Mathematics, Academy of Science of Ukraine, Ukraine
  • Professor Stefano Lenci, Department of Architecture, Building and Structures, Polytechnic University of Marche, Italy
  • Professor Yuri Miklin, Department of Applied Mathematics, Kharkov Polytechnic University, Ukraine
  • Dr Ekaterina Pavlovskaia, School of Engineering, University of Aberdeen, UK
  • Professor Giuseppe Rega, Department of Structural Engineering and Geotechnical Engineering, University of Rome 'La Sapienza', Italy
  • Dr Mattias Wolfrum, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
  • Dr Serhiy Yanchuk, Institute of Mathematics, Faculty of Mathematics and Natural Sciences II, Humboldt University of Berlin, Berlin, Germany
  • Dr Svitlana Popovich, Mathematical Faculty, University of Cologne, German
Administrative Duties
  • Since 1992, Head of the Division of Dynamics, Technical University of Lodz
  • 1996-99, Vice-dean of the Faculty of Mechanical Engineering
Teaching
  • Mechanical Vibration, (45 hours course, 15 lectures, 15 tutorials, 15 lab experiments)
  • Bifurcation and Chaos (30 hours course, lectures + tutorials)
  • Dynamics and Control (120 hours course given in English, 60 lectures, 60 tutorials and laboratory experiments
Research Grants
  • The Control of Dynamical Behavior of Mechanical Systema with Discontinuity, Ministry of Science and Higher education, Poland, 2007-10, PLN: 450000 (co-investigator with K. Czolczynski as principal investigator).
  • Dynamic Complexity in Systems, Deutscher Akademischer Austauschdienst, Programm des Projektbezogenen Personenaustauschs (PPP) mit Project Based Personnel Exchange Programme with Polen – DAAD/KBN, 2007-09, EUR: 8120,
  • Supporting grant of Ministry of Science and Higher education, Poland, 2006-08, PLN: 132500.
  • Multi-scale Modeling of Dry Friction, The Royal Society of London, 2007-09, £12,000 (a joint project with the University of Aberdeen). Supporting grant of Ministry of Science and Higher education, Poland, PLN: 50000.
  • Dynamics and synchronization of nonlinear mechanical oscillators suspended on elastic beam, Ministry of Science and Higher education, Poland, 2006-09, PLN: 280800 (principal investigator, with K. Czolczynski, A. Stefanski and P. Perlikowski as coinvestigators).
  • Impacts in mechanical systems with heavy spring elements, Ministry of Science and Higher education, Poland, 200608, PLN: 129298 (co-investigator with B. Blazejczyk-Okolewska as principal investigator).
  • Analysis of the synchronization phenomena in the array of chaotic oscillators, Ministry of Science, Poland, 2005-2007, PLN: 157300 (co-investigator with A. Stefanski as principal investigator).
  • Method of analysis of modes of oscillations of industrial robots manipulator elements with experimental verification, KBN, Poland, 2003-06, PLN: 157.000 (co-investigator, with dr P. Szumiński as principal investigator).
  • Theoretical and experimental analysis of dry friction in chaotic systems, 2003-05, KBN, Poland, PLN 138.800 (coinvestigator, with dr J. Wojewoda as principal investigator).
  • Oscillations of two impacting oscillators, KBN, Poland, 2003-05, 2003-05, PLN 135.550 (principal investigator, with B. Błażejczyk-Okolewska as co-investigator).
  • Numerical and experimental analysis of the process of synchronization of chaotic dynamical systems, KBN, Poland, 2002-04, PLN 171.920.11.
  • Estimation of the largest Lyapunov exponent in non-smooth systems on base of synchronization of systems, KBN, Poland, 2000-02, PLN 64.480 (principal investigator, with A. Stefański as co-investigator).
  • Riddled basins of attractions in multidimensional dynamical systems, KBN, Poland, 1998-2000, PLN 52.000.
  • Analysis of motion of mechanical systems with impacts, KBN, Poland, 1997-2000, PLN 77.805 (principal investigator, with B. Błażejczyk-Okolewska as co-investigator).
  • Nonlinear dynamics of manipulators with stiff elements, KBN, Poland, 1996-97, PLN 25.515.
  • Chaotic dynamics of systems with many degrees of freedom, KBN, Poland, 1996-97, PLN 39.400.
  • Chaos in multi-dimensional systems – hyperchaos, EPSRC, UK, ₤10.000 (co-investigator, with J. Brindley from Leeds University as principal investigator).
  • Method of elimination of self-exciting vibrations in systems rotor-gas bearing, KBN, Poland, 1994-96, PLN 49.000 (coinvestigator, with K. Czołczyński as principal investigator).
  • Investigation of stochastic resonance in chaotic systems, KBN, Poland, 1993-95, PLN 16.000.
  • Control of chaotic motion in nonlinear systems, KBN, Poland, 1992-93, PLN 11.000.
  • Controlling chaos: applications in geophysics, The British Council, UK and KBN, Poland, joint grant, 1992, ₤1200.
International Academic Visitors
  • 20-22/09/2009 Prof. Gunter Radons Technical University of Chemnitz, Chemnitz, Germany
  • 13-20/09/2009 Dr Mattias Wolfrum Wieierstas Intritute of Mathematics and Statistics, Berlin, Germany
  • 13-20/09/2009 Dr Serhiy Yanchuk Humboldt University of Berlin, Germany
  • 10-15/04/2003 Dr Katia Pavlovskaya and Prof Marian Wiercigroch, University of Aberdeen, Scotland, UK
  • 2-4/11/2002 Prof Sergio Lopez and Prof Ricardo Viana, University Federal do Parana, Brasil
  • 21-30/03/2002 Prof Marian Wiercigroch University of Aberdeen, Scotland, UK
  • 10-30/06/2002 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 10-30/06/2002 Dr Sergiej Yanchuk Mathematics Institute, Science Academy of Ukraine
  • 16-23/09/2001 Prof Marian Wiercigroch University of Aberdeen, Scotland, UK
  • 17-24/09/2001 Dr Elena Panchuk Mathematics Institute, Science Academy of Ukraine
  • 2-28/06/2001 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 1-20/12/2000 Dr Sergiej Yanchuk Mathematics Institute, Science Academy of Ukraine
  • 1-30/11/2000 Dr Sergiej Yanchuk Mathematics Institute, Science Academy of Ukraine
  • 11-12/06/2000 Prof Dante Barone Univ.Federal do Rio Grande do Sul, Brazil
  • 5-18/06/2000 Dr Sergiej Yanchuk Mathematics Institute, Science Academy of Ukraine
  • 25-30/06/1999 Prof Swietłana Popovich Mathematics Institute, Science Academy of Ukraine
  • 24-30/06/1999 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 11-24/06/1999 Prof Swietłana Popovich Mathematics Institute, Science Academy of Ukraine
  • 7-23/06/1999 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 1-10/12/1998 Prof John Brindley University of Leeds, UK
  • 17-19/11.1998 Prof John Brindley University of Leeds, UK
  • 21/02-4/03/1998 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 9/02-28/02/1998 Dr Aleksander Silchenko Physics Department Saratov State University, Russia
  • 10/01-8/02/1998 Dr Alexey Pavlov Physics Department Saratov State University, Russia
  • 10/01-8/02/1998 Dr Aleksander Silchenko Physics Department Saratov State University, Russia
  • 3-17/12/1997 Prof John Brindley University of Leeds, UK
  • 30/10-14/11/1997 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 16-30.09.1997 Dr Vladimir Astakov Physics Department Saratov State University, Russia
  • 27/01-26/02.1997 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 1-21/10.1996 Dr Vladimir Astahov Physics Department Saratov State University, Russia
  • 1-21/10/1996 Prof Galina Strelkowa Physics Department Saratov State University, Russia
  • 20/06-10/07/1996 Prof Gabor Szollos Thermodynamics Institute, Czech Academy of Science
  • 12-25/05/1996 Prof Sergiej Gonchenko Matematics Department, University of Nizhny Novogorod, Russia
  • 6/04-5/05/1996 Dr Vladimir Astakov Physics Department, Saratov State University, Russia
  • 3/03-2/04/1996 Prof Yuri Maistrenko Mathematics Institute, Science Academy of Ukraine
  • 24/03-4/04/1995 Prof John Brindley University of Leeds, UK
Profesional Activities

Conferences organized

  • EUROMECH COLLOQIUM Noise and Chaos in Dynamical Systems, Spala (Poland), 1993, co-organizer
  • International Conference on Applied Chaotic Systems, Inowlodz (Poland), 1996, co-organizer

Reviews

  • Reviewer of research proposals for Engineering and Physical Science Research Council (UK) and State Committee for Scientific Research (Poland)
  • Reviewer for Physical Review Letters, Physical Review E., Physica D, Physics Letters A, Chaos, Solitons and Fractals, International Journal of Bifurcation and Chaos, International Journal of Nonlinear Mechanics, Journal of Sound and Vibration, Nonlinear Dynamics, Journal of Solids and Structures, IEEE Transactions on Circuits and Systems.

Editorial Boards

  • Associate editor of Chaos, Solitons and Fractals, since 1990
  • Member of editorial board of International Journal of Bifurcation and Chaos
  • Member of editorial board of Machine Dynamics Problems
  • Editor in chief of Mechanics and Mechanical Engineering

Shards

  • Citations: over 3000 citations in the period 1989-2015
  • Work Reviewed in Scientific Periodicals by Others
    • * Mathematical Reviews, issue 96c:34070 (1996)
    • * UK Nonlinear News, 18 (1999), www.amsta.leeds.ac.uk/Applied/
    • * news.dir/issue7.dir/art/books.html
    • * Chaos, Solitons and Fractals, 11, 641 (2000)
    • * UK Nonlinear News, 19 (2000), www.amsta.leeds.ac.uk/Applied/
    • * news.dir/issue7.dir/art/books.htm
    • * E-Streams, 3(5), www.e-streams.com/es0305/es0305_820.htm
    • * Applied Mechanics Review, 53, B12 (2000)
Invited Presentations And Seminars (selected)
  • IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, Nanjing, China, 18-22 September 2006
  • Instituto Nationales de Pesquisas Espacios, San Jose Dos Campos, Brazil, May 2006
  • 5th Brazilian Conference on Dynamics, Control and Their Applications, Guaratingueta, Brazil, 23-26 May 2006
  • 6th Crimean School on Nonlinear Dynamics, Chaos, and Applications, Melas, Ukraina, 15-26 May 2006
  • Workshop on Synchronization and Higher-Dimensional Chaos, Berlin, Germany, November 2004
  • XXXII Summer School of Russian Academy of Sciences on Advanced Problems in Mechanics, St. Petersburg, Russia 24 June-1 July 2004 (plenary lecture)
  • Inaguration of the series of publication on Arabic Origin of Cryptology, Riyadh, Kingdom of Saudi Arabia, 19 October 2003 (plenary lecture)
  • Transfinite Mathematics and Computer Art, Zentrum fur Kunst und Medientechnologie, Karlsruhe, Germany 11 October 2003 (plenary lecture)
  • Institute of Fundamental Technical Research, Warsaw, Poland 3 December 2003
  • IUTAM Symposium on Chaotic Dynamics of Systems and Processes in Mechanics, Rome, Italy, 9-13 June 2003
  • Synchronization of Chaotic and Stochastic Oscillations, Saratov, Russia, 22-28 September 2002 (plenary lecture)
  • XXXII Summer School of Russian Academy of Sciences on Advanced Problems in Mechanics, St. Petersburg, Russia, 2002 (plenary lecture)
  • Mathematics and Education in Mathematics, Borovets, Bulgaria, 8-11 April 2001
  • Institute of Space research, Bulgarian Academy of Sciences, Sofia, Bulgaria
  • Discrete Dynamical Systems in Natute and Social Science, Odense, Denmark, May 2000 (plenary lecture)
  • University of Aberdeen, Department of Engineering, March 2000
  • IUTAM Symposium on Recent Developments in Nonlinear Oscillations of Mechanical Systems, Hanoi, Vietnam, 2-5 March 1999
  • Discrete Dynamical Systems in Natute and Social Science, Beer Sheva, Israel, October 1998 (plenary lecture)
  • Impact and Friction of Solids, Structures and Intelligent Machines, Ottawa, Canada 27-30 June 1998
  • Duke University, Department of Engineering, Durham, August 1998
  • University of Michigan, Department of Engineering, East Lansing, August 1998
  • University of Kansas, Department of Physics, Lawrence, USA, August 1998
  • University of Maryland, Institute of Plasma Research, College Park, April 1998
  • International Conference on Applied and Industrial Mathematics, Cairo, Egypth, December 1997 {plenary lecture)
  • IUTAM Symposium on Interaction between Dynamics and Control in Advanced Mechanical Systems, Eindhoven, The Netherlands, 21-26 April 1996
  • Physics and Dynamics between Chaos, Order and Noise, Berlin, Germany, 26-30 August 1996
  • Chaos-The Interplay Between Stochastic and Deterministic Behaviour, Karpacz, Poland, 13-24 February 1995
  • Nonlinear Phenomena in Ocean Dynamics, Los Alamos, USA, 15-19 May 1995
  • Chaotic, Fractal, and Nonlinear Signal Processing, Mystic, USA 10-14 Jyly 1995
  • Complex Systems in Computation Physics, Buenos Aires, Argentina, 18-22 October 1993
  • Structure Formation in Continuous Dynamical Systems, Caputh, Germany, 30 August-3 September 1993
  • IUTAM Symposium on Nonlinearity and Chaos in Engineering Dynamics, London, UK, 19-23 July 1993
  • Computational Mathematics, Benin-City, Nigeria, 27-31 January 1992
  • International Conference on Applied and Industrial Mathematics, Terhan, Iran 1991
  • Bifurcation and Chaos: Analysis, Algorithms, Applications, Wurzburg, Germany 1990
  • University of Cambridge, Department of Applied Mathematics and Theoretical Physics, April 1990
  • University of Aberdeen, Department of Engineering, December 1989
  • University College London, Department of Civil Engineering, November 1989
  • 12th ASME Conference on Noise and Vibration, Montreal, Canada, 1989 (keynote lecture)
Publications - Books
  • Viet-Thanh Pham, Christos Volos, Tomasz Kapitaniak, Systems with Hidden Attractors. From Theory to Realization in Circuits. SpringerBriefs in Applied Sciences and Technology, 2017. ISBN: 978-3-319-53720-7 (Print) 978-3-319-53721-4 (Online) Link to Editor
  • J. Strzalko, J. Grabski, P. Perlikowski, A. Stefanski and T. Kapitaniak, "Dynamics of Gambling: Origins of Randomness in Mechanical Systems", Series: Lecture Notes in Physics , Vol. 792 , Springer, ISBN: 978-3-642-03959-1 (2010)
  • B. Blazejczyk-Okolewska, K. Czolczynski, T. Kapitaniak and J. Wojewoda (1999). CHAOTIC MECHANICS IN SYSTEMS WITH IMPACTS AND FRICTION, World Scientific, Singapore. World Scientific
  • T. Kapitaniak, S. Bishop (1999). DICTIONARY OF NONLINEAR DYNAMICS, J. Wiley & Sons: Chichester.
  • T.Kapitaniak (1998). CHAOS FOR ENGINEERS: THEORY, APPLICATIONS AND CONTROL, Springer-Verlag: Heidelberg, second edition (2000). Springer-Verlag
  • T. Kapitaniak (1996). CONTROLLING CHAOS, Academic Press, London. Academic Press
  • T. Kapitaniak, J. Brindley (eds) (1994). NONLINEAR MECHANICS AND CHAOS, World Scientific: Singapore. World Scientific
  • T. Kapitaniak and J. Wojewoda (1993). ATTRACTORS OF QUASIPERIODICALLY FORCED SYSTEMS, World Scientific: Singapore. World Scientific
  • T. Kapitaniak (ed.) (1992). CHAOTIC OSCILLATORS - THEORY AND APPLICATIONS, World Scientific: Singapore. World Scientific
  • T. Kapitaniak (1991). CHAOTIC OSCILLATIONS IN MECHANICAL SYSTEMS, Manchester University Press: Manchester. Manchester University Press
  • T. Kapitaniak (1988). CHAOS IN SYSTEMS WITH NOISE, World Scientific: Singapore, second revised edition (1990). World Scientific
  • T. Kapitaniak, J. Wojewoda (1994) Bifurkacje i chaos (Bifurcations and Chaos), Wydawnictwo Politechniki Lodzkiej: Lodz, second edition (1995), third edition Wydawnictwo Naukowe PWN: Lodz (2000) in Polish
  • T. Kapitaniak (1992). Wstep do teorii drgan (Introduction to the Theory of Oscillations), Wydawnictwo Politechniki Lodzkiej: Lodz, second edition (2005)
Publications - Chapters in Books
  • J. Strzalko, J. Grabski, A. Stefanski, P. Perlikowski and T. Kapitaniak, "Dynamics of the coin tossing", Topics on Chaotic Systems, Selected Papers from CHAOS 2008 International Conference, World Scientific, (2009) World Scientific.
  • P. Perlikowski, A. Stefanski and T. Kapitaniak, "Ragged Synchronizability of Coupled van der Pols Oscillators", Nonlinear Dyanamics, Narosa Publishing House, New Delhi, India , (2009), Narosa Publishing House
  • P. Perlikowski, A. Stefanski and T. Kapitaniak, "Ragged Synchronizability and Clustering in a Network of Coupled Oscillators",Recent Advances in Nonlinear Dynamics and Synchronization (NDS-1) - Theory and Applications, Studies in Computational Intelligence, Vol. 254/2009, Springer Berlin / Heidelberg, (2009) Studies in Computational Intelligence
  • K. Czolczynski, A. Stefanski, P. Perlikowski and T. Kapitaniak, "Periodization and synchronization of Duffing oscillators suspended on elastic beam", IUTAM, 2006, IUTAM Bookseries.
  • K. Czolczynski, A. Stefanski, P. Perlikowski and T. Kapitaniak (2007). Periodization and synchronization of Duffing oscillators suspended on elastic beam. In Dynamics and Control of Nonlinear Systems with Uncertainty, H.Y. Hu and E. Kreuzer (eds), Springer-Verlag, Berlin, pp. 317-322.
  • A. Stefanski, J. Wojewoda and T. Kapitaniak (2006). Synchronization of chaotic systems with diagonal coupling, In. Large-Scale Computing, I. Lirkov, S. Margenov and J. Wasniewski (eds), Lecture Notes in Computer Science no. 3743, Springer-Verlag, Berlin, pp. 321-331.
  • T. Kapitaniak and K. Czolczynski (2003). Preserving transients on unstable chaotic attractors, In: Controlling Chaos and Bifurcations in Engineering Systems, G. Chen, D. Hill, X. Yu (eds), Springer-Verlag, New York, pp. 189-203.
  • T. Kapitaniak, Yu. Maistrenko and S. Popovych (2002). Route to hyperchaos, In: Attractors, Signals, and Synergetics, W. Klonowski (ed.), Pabst Science Publishers, pp.185-196.
  • K. Czolczynski, B. Blazejczyk-Okolewska and T. Kapitaniak (2002). Chaotic and regular behaviour of impacting oscillators, In: Nonlinear Dynamics, Chaos, Control and Their Applications to Engineering Sciences, vol. 5: Chaos, Control and Time Series, J. M. Balthazar, P.B. Goncalves, R.M.F.L.F. Brasil, I.L. Caldas, F.B. Rizatto (eds), AAM, ABCM, pp.299-314.
  • K. Czolczynski, T. Kapitaniak and J. Brindley (2000). Elimination of instabilities in rotors supported in gas bearings. In: Recent Developments in Non-linear Oscillations of Mechanical Systems, Nguyen Van Dao and E.J. Kreuzer (eds), Kluwer Academic Publishers, pp. 55-64.
  • B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak (2000). Dynamics of impact force generator, In:Impact and Friction of Solids, Structures and Intelligent Machines, A. Guran (ed.), World Scientific, pp. 145-148.
  • B. Blazejczyk-Okolewska and T. Kapitaniak (2000). Dynamics of two mechanical oscillators coupled by impacts, 5th Biennial Conference on Engineering Systems Design and Analysis, ASME Press, pp. 407-410.
  • K. Czolczynski and T. Kapitaniak (2000). Impact oscillator: practical stability of coexisting attractors, 5th Biennial Conference on Engineering Systems Design and Analysis, ASME Press, pp. 351-357.
  • B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak (2000). Controlling attractors in the systems with impacts, In: Advanced Problems in Vibration Theory and Applications, J.H. Zhang, X.N. Zhang (eds), Science Press, pp. 548-551.
  • T. Kapitaniak, J. Brindley and K. Czolczynski (1999). Chaos in mechanical systems and its control. In: Controlling Chaos and Bifurcations in Engineering Systems, G. Chen (ed.), CRC Press, pp. 71-88.
  • T. Kapitaniak, K. Zyczkowski, U. Feudel and C. Grebogi (1999). Analog to digital conversion in physical measurement: measurement via chaos, 1999 International Symposium on Nonlinear Theory and its Applications (NOLTA'99), pp. 601-603.
  • A. Stefanski, J. Wojewoda, T. Kapitaniak and J. Brindley (1999). Estimation of the largest Lyapunov exponent of discontinuous systems using chaos synchronization, Proceedings of DETC'99, 1999 ASME Design Engineering Technical Conferences, ASME Press, pp. 1-4.
  • K. Czolczynski, T. Kapitaniak and J. Brindley (1997). Controlling Hopf bifurcation in mechanical systems. In: Interaction between Dynamics and Control in Advanced Mechanical Systems, D.H. van Campen (ed.), Kluwer Academic Publishers, pp. 83-90.
  • J. Brindley and T. Kapitaniak (1996). Enhanced predictability in chaotic geophysical systems. In: Chaotic, Fractal, and Nonlinear Signal Processing, R.A. Katz (ed.), AIP Press, pp. 605-614.
  • V.S. Anishchenko and T. Kapitaniak (1996). Chaotic resonance: birth of double-double scroll attractor. In: Chaotic, Fractal, and Nonlinear Signal Processing, R.A. Katz (ed.), AIP Press, pp. 420-430.
  • T. Kapitaniak and J. Wojewoda (1995). Strange attractors in higher-dimensional phase space. In: Chaos-The Interplay Between Stochastic and Deterministic Behaviour, P. Garbaczewski, M. Wolf and A. Weron (eds), Springer-Verlag, pp. 169-178.
  • V.S. Anishchenko and T. Kapitaniak (1995). Stochastic resonance in quasi-hyperbolic hyperchaotic systems. In: Dynamical Systems and Chaos, vol. 2, Y. Aizawa, S. Saito and K. Shiiwa (eds), World Scientific, pp. 266-269.
  • T. Kapitaniak and J. Wojewoda (1994). Evidence of the soft turbulence in atmospheric boundary layer. In: Chaos and Nonlinear Mechanics, T. Kapitaniak and J. Brindley (ed.), World Scientific, pp.216-220.
  • T. Kapitaniak (1994). Review of strange nonchaotic attractors, In: Scientific Computing, S.O. Fatunla (ed.), Ada+Jane Press, pp. 100-130.
  • T. Kapitaniak (1994). Soliton chaos in elastic chains and turbulence. In: Hamiltonian Mechanics, Integrability and Chaotic Behaviour, J. Seimenis (ed.), Plenum, pp. 341-344.
  • T. Kapitaniak (1993). Controlling dependence on initial conditions in chaotic systems, In: Future Directions of Nonlinear Dynamics in Physical and Biological Systems, P.L. Christiansen, J.C. Eilbeck and R.D. Parmentier (eds), NATO ASI, Plenum, pp. 157-160.
  • J. Brindley and T. Kapitaniak (1992). Inhibition of chaotic behaviour in coupled models of atmospheric dynamics and climate evolution. In: Chaotic Dynamics, Theory and Practice, T. Bountis (ed.), NATO ASI, Plenum, pp. 317-326.
  • M.S. El Naschie and T. Kapitaniak (1990). Elasto-dynamical models for coherent and random behaviour, Proceedings of the 2nd Congress on Computational Mechanics, Stuttgart, pp. 668-671.
  • T. Kapitaniak and M.S. El Naschie (1990). How to distinguish strange non-chaotic attractors from chaotic ones, Proceedings of the 2nd Congress on Computational Mechanics, Stuttgart, pp. 70- 73.
  • M.S. El Naschie and T. Kapitaniak (1990). Envelope soliton chaos model for mechanical system. In: Bifurcation and Chaos: Analysis, Algorithms, Applications, R. Seydel, F.W. Schneider and H. Troger (eds), Birkhauser, pp. 111-115.
  • T. Kapitaniak and J. Wojewoda (1989). Quasiperiodic noise versus chaos in an anharmonic oscillator, In: Applied Mechanics, Zheng Zhemin (ed.), Pergamon Press, pp. 301-305.
  • T. Kapitaniak and J. Wojewoda (1989). Quasiperiodically forced oscillators: loss of chaos, strange nonchaotic attractors, 12th ASME Conference on Noise and Vibration, vol. H0508E, T.S. Sankar (ed.), ASME Press, pp.377-383.
  • T. Kapitaniak (1988). Non-Markovian analysis of stochastic systems, Proceedings of the 7th World Congress on Theory of Machines and Mechanisms, Pergamon Press, pp. 751-754.
  • T. Kapitaniak (1985). The influence of a suspension displacement on the working of anti-slip braking system, Proccedings of the Conference on Anti-Lock Braking Systems for Road Vehicles, Institution of Mechanical Engineering, C178/85, pp. 35-43.
  • T. Kapitaniak (1985). Man under vibration excited by a sequence of random collisions, Proceedings of the International CISM-IFToMM Symposium Man Under Vibration, Moscow, pp.65-70.
Publications - Special Issues of Journals
  • T. Kapitaniak, J. Kurths (eds) (2014). Synchronized pendula: From Huygens' clocks to chimera states, (special issue of The European Physical Journal Special Topics, vol. 223(4))
  • M. Wiercigroch, E. Kreuzer, T. Kapitaniak (eds) (2003). NONLINEAR DYNAMICS IN MECHANICAL SYSTEMS, Kluwer Academic Publications (special issue of Meccanica, vol. 38, no. 1
  • T. Kapitaniak (ed.) (2003). CHAOTIC OSCILLATIONS IN HIGHER-DIMENSIONAL SYSTEMS, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 15, no, 2)
  • T. Kapitaniak, M. Wiercigroch (eds) (2000). DYNAMICS OF IMPACT SYSTEMS, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 11, no. 12)
  • T. Kapitaniak, H. True (eds) (1998). APPLIED NONLINEAR SYSTEMS, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 9, no. 8)
  • T. Kapitaniak, J. Brindley (eds) (1998). APPLIED CHAOTIC SYSTEMS, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 9, no. 1-2)
  • T. Kapitaniak (ed.) (1997). CONTROLLING CHAOS, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 8, no. 8)
  • T. Kapitaniak (ed.) (1997). NONLINEARITIES IN MECHANICAL ENGINEERING, Pergamon, Oxford (special issue of Chaos, Solitons and Fractals, vol. 8, no. 4)
  • T. Kapitaniak, J. Brindley (eds) (1993). CHAOS AND NOISE IN DYNAMICAL SYSTEMS, ASME, New York (special issue of Applied Mechanics Review, vol. 46, no.7)
Publications - Papers

Popular papers

  • T. Kapitaniak, Unstable as a Pendulum, ACADEMIA 3(11), s.9-11, 2006. PDF - Polish PDF - English
  • Jaroslaw Strzalko, Juliusz Grabski et Tomasz Kapitaniak, Les des sont pipes, Pour la Science, Novembre 2009 nr 385, (30-36)
  • J. Strzalko, J. Grabski, T. Kapitaniak, Czy gra w kosci to prawdziwy hazard?, Swiat Nauki, 6, s.44-49, 2010
  • J. Grabski, J. Strzalko, T. Kapitaniak; Ruletka - czy to jeszcze hazard?, Wiedza i Zycie, 5, s.22-26, 2010
  • J. Strzalko, J. Grabski, T. Kapitaniak, Baczek, bak... Ziemia, Wiedza i Zycie, 7, s.28-32, 2011
  • J. Grabski, J. Strzalko, T. Kapitaniak, Przepis na gol, Wiedza i Zycie, 6, s.29-33, 2012

Publications in Refereed Journals

= 2017 =

  • Pham, V.-T., Akgul, A., Volos, C., Jafari, S., Kapitaniak, T.: Dynamics and circuit realization of a no-equilibrium chaotic system with a boostable variable. 2017, AEU - International Journal of Electronics and Communications, 78, pp. 134-140. Article at Sci. Dir.
  • Pham, V.-T., Kingni, S.T., Volos, C., Jafari, S., Kapitaniak, T.: A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronization. 2017, AEU - International Journal of Electronics and Communications, 78, pp. 220-227. Article at Sci. Dir.
  • Brzeski, P., Pavlovskaia, E., Kapitaniak, T., Perlikowski, P.: Controlling multistability in coupled systems with soft impacts. 2017, International Journal of Mechanical Sciences, 127, pp. 118-129. Article at Sci. Dir.
  • Wang, X., Vaidyanathan, S., Volos, C., Pham, V.-T., Kapitaniak, T.: Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors. 2017, Nonlinear Dynamics, pp. 1-15. Article at SV
  • Pm, G., Kapitaniak, T.: Synchronization in Coupled Multistable Systems with Hidden Attractors. 2017, Mathematical Problems in Engineering, 2017,5214235.
  • Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko, Dawid Dudkowski, Tomasz Kapitaniak, Yuri Maistrenko: Solitary states for coupled oscillators. Article, March 2017. Preprint available
  • Dawid Dudkowski, Awadhesh Prasad and Tomasz Kapitaniak: Perpetual points: New tool for localization of co-existing attractors in dynamical systems. Preprint available
  • Thanh Pham, Sajad Jafari, Tomasz Kapitaniak, Sifeu Takougang Kingni: Generating a chaotic system with one stable equilibrium. International Journal of Bifurcation and Chaos, January 2017
  • Pham, V.-T., Volos, C., Jafari, S., Kapitaniak, T.: Coexistence of hidden chaotic attractors in a novel no-equilibrium system. Nonlinear Dynamics, 87(3), 1 February 2017, 2001-2010. DOI: 10.1007/s11071-016-3170-x Article link
  • Mishra, A., Saha, S., Roy, P.K., Kapitaniak, T., Dana, S.K.: Multicluster oscillation death and chimeralike states in globally coupled Josephson junctions. Chaos, 27(2), 1 February 2017, Article number 023110. doi: 10.1063/1.4976147 Chaos Article
  • Maistrenko, Y., Brezetsky, S., Jaros, P., Levchenko, R., Kapitaniak, T.: Smallest chimera states. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 95(1), January 2017, Article number 010203, DOI: 10.1103/PhysRevE.95.010203. PhysReV Article

= 2016 =

  • Brzeski Piotr, Lazarek Mateusz, Kapitaniak Tomasz, Kurths J., Perlikowski Przemysław: Basin stability approach for quantifying responses of multistable systems with parameters mismatch. MECCANICA, 2016, vol. 51, no. 11, p. 2713–2726
  • Brzeski Piotr, Pavlovskaia E., Kapitaniak Tomasz, Perlikowski Przemysław: Controlling multistability in coupled systems with soft impacts, INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2016
  • Brzeski Piotr, Perlikowski Przemysław: Effects of play and inerter nonlinearities on the performance of tuned mass damper. NONLINEAR DYNAMICS, 2016, p. 1-15
  • Brzeski Piotr, Kapitaniak Tomasz, Perlikowski Przemysław: The use of tuned mass absorber to prevent overturning of the rigid block during earthquake. INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2016, rocznik 2016, nr , s. , ISSN: 0219-4554
  • Dudkowski Dawid, Maistrenko Yuri, Kapitaniak Tomasz: Occurrence and stability of chimera states in coupled externally excited oscillators. CHAOS, 2016, vol. 26, no. 11, p. 116306-1-116306-9
  • Dudkowski Dawid, Prasad Awadhesh, Kapitaniak Tomasz: Perpetual points and periodic perpetual loci in maps, CHAOS, 2016, vol. 26, no. 10, p. 103103-1-103103-9
  • Dudkowski Dawid, Jafari Sajad, Kapitaniak Tomasz, Kuznetsov Nikolay Vladimirovich, Leonov Gennady A., Prasad Awadhesh: Hidden Attractors in dynamical systems, Physics Reports 637, May 2016, DOI: 10.1016/j.physrep.2016.05.002 Article
  • Dudkowski Dawid, Grabski Julisz, Wojewoda Jerzy, Perlikowski Przemysław, Maistrenko Yuri and Kapitaniak Tomasz: Experimental multistable states for small network of coupled pendula, Scientific Reports 6, Article number: 29833 (2016), doi:10.1038/srep29833 Article at SREP
  • Dvorak A., Astakhov V., Perlikowski Przemysław, Kapitaniak Tomasz: Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators. European Physical Journal-Special Topics, 2016, vol. 225, no. 13-1, p. 2635-2643
  • Jaros Patrycja, Kapitaniak Tomasz, Perlikowski Przemysław: Multistability in nonlinearly coupled ring of Duffing systems. European Physical Journal-Special Topics, 2016, vol. 225, no. 13-1, p. 2623–2634
  • Jafari Sajad, Pham Viet-Thanh, Kapitaniak Tomasz: Multiscroll Chaotic Sea Obtained from a Simple 3D System Without Equilibrium, International Journal of Bifurcation and Chaos 26(2), February 2016, DOI: 10.1142/S0218127416500310 Article in WS
  • Pham Viet–Thanh, Jafari Sajad, Volos Christos, Vaidyanathan Sundarapandian, Kapitaniak Tomasz: A chaotic system with infinite equilibria located on a piecewise linear curve, Optik - International Journal for Light and Electron Optics, July 2016, DOI: 10.1016/j.ijleo.2016.06.111 Article
  • Pham Viet-Thanh, Volos Christos, Jafari Sajad, Wang Xiong, Kapitaniak Tomasz: A simple chaotic circuit with a light-emitting diode. Optoelectronics and Advanced Materials-Rapid Communications, 2016, vol. 10, no. 9-10, p. 640-646
  • Pham Viet-Thanh, Volos Christos, Jafari Sajad, Kapitaniak Tomasz: Coexistence of hidden chaotic attractors in a novel no-equilibrium system. NONLINEAR DYNAMICS, 2016, vol. , no. , p. 1-10
  • Pham Viet-Thanh, Jafari Sajad, Kapitaniak Tomasz: Constructing a Chaotic System with an Infinite Number of Equilibrium Points. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, vol. 26, no. 13, p. 1-7
  • Pham Viet–Thanh, Jafari Sajad, Volos Christos, Kapitaniak Tomasz: A gallery of chaotic systems with an infinite number of equilibrium points. Chaos, Solitons and Fractals, 93, Dec 2016, 58–63. ChSF
  • Pham Viet-Thanh, Jafari Sajad, Volos Christos, Giakoumis Aggelos, Vaidyanathan Sundarapandian, Kapitaniak Tomaz: A chaotic system with equilibria located on the rounded square loop and its circuit implementation, Circuits and Systems II: Express Briefs, IEEE Transactions on, January 2016, 63, no. 9, p. 878-882. DOI: 10.1109/TCSII.2016.2534698 Article
  • Pham Viet-Thanh, Volos Christos, Jafari Sajad, Vaidyanathan Sundarapandian, Kapitaniak Tomasz, Wang X.: A Chaotic System with Different Families of Hidden Attractors. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, vol. 26, no. 8, p. 9, ISSN: 0218-1274
  • Wei Zhouchao, Moroz Irene, Wang Zhen, Sprott Julien Clinton, Kapitaniak Tomasz: Dynamics at Infinity, Degenerate Hopf and Zero-Hopf Bifurcation for Kingni–Jafari System with Hidden Attractors, International Journal of Bifurcation and Chaos, June 2016, DOI: 10.1142/S021812741650125X Article in WS
  • Wei Zhouchao, Pham Viet-Thanh, Kapitaniak Tomasz, Wang Zhen: Bifurcation analysis and circuit realization for multiple-delayed Wang–Chen system with hidden chaotic attractors, Nonlinear Dynamics, April 2016, DOI: 10.1007/s11071-016-2783-4 Article

= 2015 =

  • Brzeski P, Kapitaniak T, Perlikowski P: Novel type of tuned mass damper with inerter which enables changes of inertance. JOURNAL OF SOUND AND VIBRATION, 2015, rocznik 349, nr , s. 56-66, ISSN: 0022-460X
  • Jaros P, Borkowski Ł, Witkowski B, Czołczyński K, Kapitaniak T: Multi-headed chimera states in coupled pendula. European Physical Journal-Special Topics, 2015, rocznik 224, nr 8, s. 1605-1617, ISSN: 1951-6355
  • Jaros P, Perlikowski P, Kapitaniak T: Synchronization and multistability in the ring of modified Rössler oscillators. European Physical Journal-Special Topics, 2015, rocznik 224, nr 8, s. 1541-1552, ISSN: 1951-6355
  • S. Brezetskyi, Dawid Dudkowski, Tomasz Kapitaniak: Rare and hidden attractors in Van der Pol-Duffing oscillators, The European Physical Journal Special Topics, 224(8):1459-1467, July 2015, DOI: 10.1140/epjst/e2015-02471-2 Article
  • Brzeski P, Kapitaniak T, Perlikowski P: Novel type of tuned mass damper with inerter which enables changes of inertance. JOURNAL OF SOUND AND VIBRATION, 2015, rocznik 349, nr , s. 56-66, ISSN: 0022-460X
  • Jaros P, Borkowski Ł, Witkowski B, Czołczyński K, Kapitaniak T: Multi-headed chimera states in coupled pendula. European Physical Journal-Special Topics, 2015, rocznik 224, nr 8, s. 1605-1617, ISSN: 1951-6355
  • Jaros P, Perlikowski P, Kapitaniak T: Synchronization and multistability in the ring of modified Rössler oscillators. European Physical Journal-Special Topics, 2015, rocznik 224, nr 8, s. 1541-1552, ISSN: 1951-6355
  • T. Kapitaniak and G.A. Leonov: Multistability: Uncovering hidden attractors. The European Physical Journal Special Topics, 224, 1405-1408 (2015). doi:10.1140/epjst/e2015-02468-9 Article EPJ
  • P. Brzeski, T. Kapitaniak, P. Perlikowski: Analysis of transitions between different ringing schemes of the church bell. International Journal of Impact Engineering, 85, pp. 57–66 (2015). doi:10.1016/j.ijimpeng.2015.06.008. Article IJIE
  • Brzeski, P., Kapitaniak, T., Perlikowski, P.: Novel type of tuned mass damper with inerter which enables changes of inertance. Journal of Sound and Vibration, 349, pp. 56-66 (2015). doi: 10.1016/j.jsv.2015.03.035 Article JSV
  • D. Dudkowski, A. Prasad and T. Kapitaniak: "Perpetual points and hidden attractors in dynamical systems", Physics Letters A (2015). PLA, PDF
  • L. Borkowski, P. Perlikowski, T. Kapitaniak and A. Stefanski: "Experimental observation of three-frequency quasiperiodic solution in a ring of unidirectionally coupled oscillators", Physical Review E 91 (2015). PRE, PDF
  • P. Jaros, Y. Maistrenko and T. Kapitaniak: "Chimera states on the route from coherence to rotating waves", Physical Review E 91 (2015). PRE, PDF
  • W. Serweta, A. Okolewski, B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak: "Lyapunov exponents of impact oscillators with Hertz?s and Newton?s contact models", International Journal of Mechanical Sciences 89:194-206 (2015). IJMS, PDF
  • S. Yanchuk, P. Perlikowski, M. Wolfrum, A. Stefanski and T. Kapitaniak: "Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems", Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (2015). Chaos, PDF - preprint
  • P. Brzeski, T. Kapitaniak, P. Perlikowski: "Experimental verification of a hybrid dynamical model -of the church bell", International Journal of Impact Engineering, 80:177-184 (2015). IE, PDF - preprint
  • P. Brzeski, E. Pavlovskaia, T. Kapitaniak, P. Perlikowski: "The application of inerter in tuned mass absorber", International Journal of Non-Linear Mechanics 70, 20-29 (2015) IJNLM, PDF - preprint.

= 2014 =

  • Kapitaniak T, Kurths J: Synchronized pendula: from Huygens' clocks to chimera states. European Physical Journal-Special Topics, 2014, vol. 223, no. 4, p. 609-612, ISSN: 1951-6355. EPJST
  • Najdecka A, Kapitaniak T and Wiercigroch M: "Synchronous rotational motion of parametric pendulums", International Journal of Non-Linear Mechanics 70 (2014). IJNLM PDF
  • M. Marszal, K. Jankowski, P. Perlikowski, T. Kapitaniak: "Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation", Mathematical Problems in Engineering Volume 2014 (2014). MPE, PDF - preprint
  • P. Kuzma, M. Kapitaniak, and T. Kapitaniak: "Coupling multistable systems: uncertainty due to the initial positions on the attractors", Journal of Theoretical and Applied Mechanics 52 (2014). JTAM.
  • T. Kapitaniak, P. Kuzma, J. Wojewoda, K. Czolczynski and Y. Maistrenko: "Imperfect chimera states for coupled pendula", Scientific Reports 4 (2014). SR
  • D. Dudkowski, Y. Maistrenko and T. Kapitaniak: "Different types of chimera states: An interplay between spatial and dynamical chaos", Physical Review E 90 (2014). PRE, PDF
  • D. Dudkowski, P. Kuzma and T. Kapitaniak: "Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators", Discrete Dynamics in Nature and Society 2014 (2014). DDNS
  • M. Kapitaniak, K. Czolczynski, P. Perlikowski, A. Stefanski, T. Kapitaniak: "Synchronous states of slowly rotating pendula", Physics Reports 541(1) (2014). PR, PDF - preprint
  • M. Kapitaniak, M. Lazarek, M. Nielaczny, K. Czolczynski, P. Perlikowski, T. Kapitaniak: "Synchronization extends the life time of the desired behavior of globally coupled systems", Scientific Reports 4 (2014). PR, PDF - preprint
  • B. Witkowski, P. Perlikowski, A. Prasad,T. Kapitaniak: "The dynamics of co- and counter rotating coupled spherical pendulums",The European Physical Journal Special Topics 223(4) (2014). EPJ ST, PDF - preprint
  • P. Koluda, P. Perlikowski, K. Czolczynski, T. Kapitaniak: "Synchronization of two self-excited double pendula", >The European Physical Journal Special Topics 223(4) (2014). EPJ ST, PDF - preprint
  • K. Marynowski and T. Kapitaniak: "Dynamics of Axially Moving Continua (Review)", International Journal of Mechanical Sciences 81(2014). IJMS, PDF.
  • P. Koluda, P. Perlikowski, K. Czolczynski, T. Kapitaniak: "Synchronization configurations of two coupled double pendula", Communications in Nonlinear Science and Numerical Simulation 19(4) (2014). CNSNS, PDF - preprint
  • P. Brzeski, P. Perlikowski, T. Kapitaniak: "Numerical optimization of tuned mass absorbers attached to strongly nonlinear Duffing oscillator", Communications in Nonlinear Science and Numerical Simulation 19(1) (2014). CNSNS, Preprint

= 2013 =

  • A. Dvorak, P. Kuzma, P. Perlikowski, V. Astakhov, T. Kapitaniak: "Dynamics of three Toda oscillators with nonlinear unidirectional coupling", The European Physical Journal Special Topics 222 (2013) EPJ ST.
  • S. Sabarathinam, K. Thamilmaran, L. Borkowski, P. Perlikowski, P. Brzeski, A. Stefanski, T. Kapitaniak: "Transient chaos in two coupled, dissipatively perturbed Hamiltonian Duffing oscillators", Communications in Nonlinear Science and Numerical Simulation 18(11) (2013). CNSNS, Preprint
  • M. Kapitaniak, P. Perlikowski and T. Kapitaniak: "Synchronous motion of two vertically excited planar elastic pendula", Communications in Nonlinear Science and Numerical Simulation 18(8) (2013). CNSNS, Arxiv preprint
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of the self-excited pendula suspended on the vertically displacing beam", Communications in Nonlinear Science and Numerical Simulation 18(2) (2013). CNSNS, PDF
  • M. Lazarek, M. Nielaczny, K. Czolczynski and T. Kapitaniak: "Synchronization of Slowly Rotating Nonidentically Driven Pendula", Journal of Computational and Nonlinear Dynamics 9(2), (2013). JCND.

= 2012 =

  • P. Perlikowski, M. Kapitaniak, K. Czolczynski, A. Stefanski and T. Kapitaniak: "Chaos in coupled clocks", International Journal Bifurcation and Chaos 22(12) (2012). Electronic version of an article in International Journal Bifurcation and Chaos ©[copyright World Scientific Publishing Company] IJBC, PDF
  • M. Kapitaniak, P. Brzeski, K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization thresholds of coupled self-excited nonidentical pendula suspended on the vertically displacing beam", Progress of Theoretical Physics 128(6) 1141-1173 (2012). PTP, PDF - postprint
  • P. Brzeski, P. Perlikowski, S. Yanchuk and T. Kapitaniak: "The dynamics of the pendulum suspended on the forced Duffing oscillator", Journal of Sound and Vibration, 331(24) (2012), JSV, Arxiv preprint
  • T. Kapitaniak, K. Czolczynski, P. Perlikowski and A. Stefanski: "Energy balance of two synchronized self-excited pendulums with different masses", Journal of Theoretical and Applied Mechanics, 50(3) (2012). PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of pendula rotating in different directions", Communications in Nonlinear Science and Numerical Simulation, 17(9) (2012). CNSNS, PDF - preprint
  • M. Kapitaniak, K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Chaos in coupled clocks", Physics Reports (2012), accepted for publication. PR
  • M. Kapitaniak, J. Strzalko, J. Grabski and T. Kapitaniak: "The three-dimensional dynamics of the die throw", Chaos 22(4) (2012). Chaos, PDF
  • J. Strzalko, J. Grabski, J. Wojewoda, M. Wiercigroch and T. Kapitaniak: "Synchronous rotation of the set of double pendula: Experimental observations", Chaos, 22(4) (2012). Chaos, PDF
  • A. Stefanski, J. Wojewoda, A. Chudzik and T. Kapitaniak: "Hyperbolic-like properties of Popp's attractor", International Journal of Bifurcation and Chaos 22(8) (2012). IJBC
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of pendula rotating in different directions", Communications in Nonlinear Science and Numerical Simulation, 17(9) (2012). CNSNS, PDF - preprint
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of slowly rotating pendulums", International Journal Bifurcation and Chaos, 22(5) (2012), Electronic version of an article in International Journal Bifurcation and Chaos ©[copyright World Scientific Publishing Company] IJBC, PDF

= 2011 =

  • V. Astakhov, S. Koblyanskii, A. Shabunin and T. Kapitaniak: "Peculiarities of the transitions to synchronization in coupled systems with amplitude death", Chaos: An Interdisciplinary Journal of Nonlinear Science, 21(2), 023127 (2011) Chaos, PDF
  • P. Perlikowski, M. Kapitaniak, K. Czolczynski, A. Stefanski and T. Kapitaniak: "Chaos in coupled clocks", International Journal Bifurcation and Chaos, (2011), accepted for publication. Electronic version of an article accepted for publication in International Journal Bifurcation and Chaos ©[copyright World Scientific Publishing Company] IJBC, PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of slowly rotating pendulums", International Journal Bifurcation and Chaos, (2011), accepted for publication. Electronic version of an article accepted for publication in International Journal Bifurcation and Chaos © [copyright World Scientific Publishing Company] IJBC, PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Why two clocks synchronize: Energy balance of the synchronized clocks", Chaos: An Interdisciplinary Journal of Nonlinear Science, 21, 023129 (2011). Chaos, PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering of non-identical clocks", Progress of Theoretical Physics, Vol.125, No. 3 (2011). PTP, PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Huygens' odd sympathy experiment revisited", International Journal Bifurcation and Chaos, 21(7) (2011). Electronic version of an article published as International Journal Bifurcation and Chaos 21(7) DOI No: 10.1142/S0218127411029628 ©[copyright World Scientific Publishing Company] IJBC, PDF - postprint
  • A. Chudzik, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Multistability and rare attractors in van der Pol - Duffing oscillator", International Journal Bifurcation and Chaos 21(7), 2011. Electronic version of an article published as International Journal Bifurcation and Chaos 21(7) DOI No: 10.1142/S0218127411029513 ©[copyright World Scientific Publishing Company] IJBC, PDF - postprint

= 2010 =

  • P. Perlikowski, A. Stefanski, T. Kapitaniak: "Discontinuous synchrony in an array of Van der Pol oscillators", International Journal of Non-Linear Mechanics, (2010), IJNLM, PDF
  • B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak: "The effect of discretization on the numerical simulation of the vibrations of the impacting cantilever beam", Communications in Nonlinear Science and Numerical Simulation, 15(10) (2010). CNSNS PDF
  • A. Dabrowski and T. Kapitaniak (2010). "Application of Artificial Neural Networks in Parametrical Investigations of The Energy Flow and Synchronization", Journal of Theoretical and Applied Mechanics, 48(4). JTAM PDF
  • B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak: "Hard versus soft impacts in oscillatory systems modeling", Communications in Nonlinear Science and Numerical Simulation, 15(5) (2010). CNSNS PDF
  • J. Grabski, J. Strzalko, A. Stefanski, P. Perlikowski and T. Kapitaniak: "Understanding coin tossing", The Mathematical Intelligencer, (2010), Math. Intelligencer., PDF
  • P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, P. Mosilek and T. Kapitaniak: "Routes to complex dynamics in a ring of unidirectionally coupled systems", Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(1), (2010). Chaos, PDF

= 2009 =

  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering of Huygens' clocks", Progress of Theoretical Physics Vol. 122, No. 4, (2009). PTP, PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Clustering and synchronization of n Huygens' clocks", Physica A 388, doi:10.1016/j.physa.2009.08.033, (2009). Physica A, PDF
  • B. Blazejczyk-Okolewska, K. Czolczynski and T. Kapitaniak (2009). Dynamics of a two-degree-of-freedom cantilever beam with impacts, Chaos, Solitons and Fractals, in press (published on-line: doi:10.1016/j.chaos.2007.09.097) CS&F PDF
  • A. Dabrowski and T. Kapitaniak (2009). Using chaos to reduce oscillations: Experimental results, Chaos, Solitons and Fractals, in press (published on-line: doi:10.1016/j.chaos.2007.06.126) CS&F PDF

= 2009 =

  • J. Grabski, J. Strzalko, A. Stefanski, P. Perlikowski and T. Kapitaniak: "The Dynamics of Coin Tossing is Predictable", Physics Reports 469, doi:10.1016/j.physrep.2008.08.003, (2008). PR, PDF
  • K. Czolczynski, A. Stefanski, P. Perlikowski T. Kapitaniak: "Multistability and chaotic beating of Duffing oscillators suspended on an elastic structure", Journal Sound and Vibration, (2008). JSV, PDF
  • P. Perlikowski, B. Jagiello, A. Stefanski, T. Kapitaniak: "Experimental observation of ragged synchronizability", Physical Review E 78, doi: 10.1103/PhysRevE.78.017203, (2008). PRE, PDF
  • J. Wojewoda, A. Stefanski, M. Wiercigroch and T. Kapitaniak (2008). Hysteretic effects of dry friction: modelling and experimental studies, Philosophical Transactions of the Royal Society, A366, 747-766. PTRSA PDF
  • P. Perlikowski, A. Stefanski, and T. Kapitaniak: "1:1 Mode locking and generalized synchronization in mechanical oscillators", Journal Sound and Vibration, doi:10.1016/j.jsv.2008.04.021, (2008). JSV, PDF
  • P. Perlikowski, A. Stefanski, and T. Kapitaniak: "Comment on Synchronization in a ring of four mutually coupled van der Pol oscillators: Theory and experiment"", Physical Review E, 77, doi:048201 (2008). PRE, PDF

= 2008 =

  • K. Czolczynski, A. Stefanski, P. Perlikowski and T. Kapitaniak: "Dynamics of an Array of Duffing Oscillators Suspended on Elastic Structure", Machine Dynamics Problems, 31(2), (2007).
  • K. Czolczynski, T. Kapitaniak, P. Perlikowski and A. Stefanski: "Periodization of Duffing oscillators suspended on elastic structure: mechanical explanation", Chaos, Solitons and Fractals, 32, (2007). CSF,PDF
  • K. Czolczynski, P. Perlikowski, A. Stefanski and T. Kapitaniak: "Synchronization of self-excited oscillators suspended on elastic structure", Chaos, Solitons and Fractals, 32, (2007). CSF, PDF
  • A. Stefanski, P. Perlikowski, T. Kapitaniak: Ragged synchronizability of coupled oscillators. Physical Review E, 75, (2007). PRE, PDF
  • S.L.T. de Souza, A. Batista, I.L. Caldas, R.L. Viana, and T. Kapitaniak (2007). Noise-induced basin hopping in a vibro-impact system, Chaos, Solitons and Fractals, 32, 758-767. CS&F, PDF

= 2007 =

  • K. Marynowski, and T. Kapitaniak (2007). Zener internal damping in modeling of axially moving viscoelastic beam with time-dependent tension, Int. J. Non-Linear Mechanics, 42, 118-131, doi:10.1016/j.ijnonlinmec.2006.09.006. IJNLM, PDF

= 2006 =

  • K. Czolczynski, and T. Kapitaniak (2006). On the influence of the resonant frequencies ratio on a stable periodic solution of two impacting oscillators, Int. J. Bifurcation and Chaos, 16, 3707-3715. IJBC , PDF
  • A. Stefanski, J. Wojewoda, M. Wiercigroch, and T. Kapitaniak (2006). Regular and chaotic oscillations of friction force, Journal of Mechanical Engineering Science, 220, 273-284. JMES, PDF
  • S. Yanchuk, A. Stefanski, T. Kapitaniak, and J. Wojewoda (2006). Dynamics of an array of mutually coupled semiconductor lasers, Physical Review E73, 016209(1-7). PRE , PDF

= 2005 =

  • T. Kapitaniak (2005). Chaos synchronization and hyperchaos, Journal of Physics, 23, 317-324. JP, PDF
  • P. Szuminski, and T. Kapitaniak (2005). A model for the determination of the resisting torque of the rolling bearing cage motion of slow-speed kinematic pairs, Meccanica, 40, 35-47. Meccanica, PDF
  • S.L.T. de Souza, I.L. Caldas, R.L. Viana, A. Batista, and T. Kapitaniak (2005). Noise-induced basin hopping in the gearbox model, Chaos, Solitons and Fractals, 26, 1523-1531. CS&F, PDF
  • T. Kapitaniak (2005). Riddling bifurcation and .. interstellar journeys, Chaos, Solitons and Fractals, 25, 901-904. CS&F, PDF
  • B. Blazejczyk-Okolewska, K. Czolczynski, and T. Kapitaniak (2005). Determination of geometrical conditions of assembly and impacts In classified types of mechanical systems with impacts, European Journal of mechanics, A/Solids, 24, 277-291. EJM, PDF
  • A. Akopov, V. Astakhov, T. Vadiasova, A. Shabunin, T. Kapitaniak (2005). Frequency synchronization in clusters in coupled extended systems, Physics Letters A, 334, 169-172. PLA, PDF
  • A. Stefanski, A. Dabrowski, T. Kapitaniak (2005). Evaluation of the largest Lyapunov exponent in dynamical system with time delay, Chaos, Solitons and Fractals, 23, 1651-1659. CS&F, PDF

= 2004 =

  • K. Czolczynski, and T. Kapitaniak (2004). On the existence of a stable periodic solution of two impacting oscillators with damping, Int. J. Bifurcation and Chaos, 14, 3931-3947. IJBC, PDF
  • A. Stefanski, J. Wojewoda, T. Kapitaniak, and S. Yanchuk (2004). Simple estimation of synchronization threshold in esembles of diffusively coupled chaotic systems, Physical Review E70, 026217(1-11). PRE, PDF
  • K. Czolczynski, and T. Kapitaniak (2004). On the existence of a stable periodic solution of an impacting oscillator with two fenders, Int. J. Bifurcation and Chaos, 14, 3115-3134. IJBC, PDF
  • B. Blazejczyk-Okolewska, K. Czolczynski, and T. Kapitaniak (2004). Classification principles of types of mechanical systems with impacts - fundamental assumptions and rules, European Journal of Mechanics, A/Solids, 23, 517-537. EJM, PDF
  • P. Szuminski, T. Kapitaniak, A. Stefanski (2004). Energy method for position stability analysis of critical points of robot manipulators, Journal of Theoretical and Aplied Mechanics, 42,1, 139-162. JTAM, PDF

= 2003 =

  • A. Stefanski and T. Kapitaniak (2003). Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization, Chaos, Solitons and Fractals, 15, 233-244. CS&F, PDF
  • T. Kapitaniak, Yu. Maistrenko and C. Grebogi (2003). Bubbling and riddling of higher-dimensional attractors, Chaos, Solitons and Fractals, 17, 61-66. CS&F, PDF
  • K. Czolczynski and T. Kapitaniak (2003). Influence of the mass and stiffness ratio on a periodic motion of two impacting oscillators, Chaos, Solitons and Fractals, 17, 1-10. CS&F, PDF
  • A. Stefanski and T. Kapitaniak (2003). Synchronization of mechanical systems driven by chaotic or random excitation, J. Sound and Vibration, 260, 565-576. JSV, PDF
  • P. Szuminski and T. Kapitaniak (2003). Stability regions of periodic trajectories of the manipulator motion, Chaos, Solitons and Fractals, 17, 67-78. CS&F, PDF
  • A. Stefanski, T. Kapitaniak, J. Wojewoda and M. Wiercigroch (2003). Chaos caused by non-reversible dry friction, Chaos, Solitons and Fractals, 16, 661-664. CSF, PDF
  • S. Yanchuk and T. Kapitaniak (2003). Manifestation of riddling in the presence of a small parameter mismatch between coupled systems, Phys. Rev, 68E, 017202-017205. PRE, PDF
  • A. Stefanski and T. Kapitaniak (2003). Synchronization of two chaotic oscillators via a negative feedback mechanism, J. Solids and Structures, 40, 5175-5185. JS&S, PDF
  • A. Stefanski and T. Kapitaniak (2003). Using synchronization to detect chaotic response in externally forced dynamical systems, Noise and Fluctuation Letters, 3, 187-194. N&FL, PDF

= 2002 =

  • K. Marynowski and T. Kapitaniak (2002). Kelvin-Voigth versus Burgers interial damping in modeling of axially moving viscoelastic web, Int. J. Nonlinear Mechanics, 37, 1147-1161. IJNM, PDF

= 2001 =

  • S. Yanchuk, T. Kapitaniak (2001). Chaos-hyperchaos transition in coupled Rossler systems, Physics Letters A, 290, 139-144. PLA, PDF
  • B. Blazejczyk-Okolewska, J. Brindley, K. Czolczynski and T. Kapitaniak (2001). Antiphase synchronization of chaos by noncontinuous coupling: two impacting oscillators, Chaos, Solitons and Fractals, 12, 1823-1826. CS&F, PDF
  • A. Dabrowski and T. Kapitaniak (2001). Using chaos to reduce oscillations, Nonlinear Phenomena in Complex Systems, 4, 206-211. NPCS, PDF
  • T. Kapitaniak (2001). Partially nearly riddled basins in systems with chaotic saddle, Chaos, Solitons and Fractals, 12, 2363-2368. CS&F, PDF
  • S. Yanchuk and T. Kapitaniak (2001). Symmetry-increasing bifurctaion as a predictor of a chaos-hyperchaos transition in coupled systems, Physical Review E, 64, 056235: 1-5. PRE, PDF

= 2000 =

  • T. Kapitaniak, K. Zyczkowski, U. Feudel and C. Grebogi (2000). Analog to digital conversion in physical measurements, Chaos, Solitons and Fractals, 11, 1247-1251. CS&F, PDF
  • T. Kapitaniak and A. Stefanski (2000). Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems, Discrete Dynamics in Nature and Society, 4, 207-215. DDNS, PDF
  • K. Czolczynski, B. Blazejczyk-Okolewska and T. Kapitaniak (2000). Impact force generator: self-synchronization and regularity of motion, Chaos, Solitons and Fractals, 11, 2505-2510. CS&F PDF
  • B. Blazejczyk-Okolewska, J. Brindley and T. Kapitaniak (2000). Practical riddling in mechanical systems, Chaos, Solitons and Fractals, 11, 2511-1514. CS&F, PDF
  • T. Kapitaniak, Yu. Maistrenko and S. Popovich (2000). Chaos-hyperchaos transition, Phys. Rev. E 62, 1972-1976. PRE. PDF

= 1999 =

  • T. Kapitaniak, Yu. Maistrenko (1999). Riddling bifurcations in coupled piecewise linear maps. Physica, D 126, 18-26. Physica D, PDF
  • A. Silchenko, T. Kapitaniak, V. Anishchenko (1999). Noise-enhanced phase locking in a stochastic bistable system driven by a chaotic signal. Phys. Rev. E 59, 1593-1599. PRE, PDF
  • V. Astakhov, T. Kapitaniak, A. Shabunin, V.S. Anishchenko (1999). Non-bifurcational mechanism of loss of chaos synchronization in coupled non-identical systems. Phys. Lett., A258, 99-102. PLA, PDF
  • T. Kapitaniak, Y.-Ch. Lai, C. Grebogi (1999). Metamorphosis of chaotic saddle, Phys. Lett. A 259, 445-450. PLA, PDF
  • T. Kapitaniak, Y.-Ch. Lai, C. Grebogi (1999). Blowout bifurcation of chaotic saddles, Discrete Dynamics in Nature and Society, 3, 9-13. DDNS, PDF

= 1998 =

  • A. Stefanski, T. Kapitaniak, J. Brindley, V.V. Astakhov (1998). Torus on-off intermittency in coupled Lorenz systems, Phys. Rev. E, 57, 1175-1177. PRE, PDF
  • T. Kapitaniak, J. Brindley (1998). Practical Stability of chaotic attractors. Chaos, Solitons and Fractals, 9, 43-50. CS&F, PDF
  • T. Kapitaniak, Yu. Maistrenko (1998). Chaos synchronization and riddled basins in two coupled one-dimensional maps, Chaos, Solitons and Fractals, 9, 271-282. CS&F PDF
  • T. Kapitaniak, J. Brindley (1998). Preserving transient chaos. Phys. Lett. A 241, 41-45. PLA, PDF
  • T. Kapitaniak, Yu. Maistrenko, A. Stefanski, J. Brindley (1998). Bifurcations from locally to globally riddled basins. Phys. Rev. E, 57, R6253-R6256. PRE, PDF,PDF - erratum
  • K. Czolczynski, T. Kapitaniak, K. Marynowski (1998). Stiffness and damping coefficients of air rings with a chamber feeding system. Proc. Instn. Mech. Engrs., 212, 131-143. PIME, PDF
  • T. Kapitaniak, Yu. Maistrenko (1998). Multiple choice bifurcations as a source of unpredictability in dynamical systems, Phys. Rev. E, 58, 5161-5163. PRE, PDF
  • B. Blazejczyk-Okolewska, T. Kapitaniak (1998). Co-existing attractors of impact oscillator, Chaos, Solitons and Fractals, 9, 1439-1443. CS&F, PDF
  • V. Astakhov, M. Hasler, T. Kapitaniak, A. Shabunin, V.S. Anishchenko (1998). Effect of parameter mismatch on the mechanism of chaos synchronization loss in coupled systems. Phys. Rev. E, 58, 5620- 5628. PRE, PDF

= 1997 =

  • K. Czolczynski, T. Kapitaniak (1997). Hopf bifurcation in rotors supported in gas bearings, Chaos, Solitons and Fractals 8, 499-515. CS&F, PDF
  • T. Kapitaniak, L.O. Chua (1997). Strange nonchaotic trajectories on torus, Int. J. Bifurcation and Chaos, 7, 423-429. IJBC, PDF
  • V. Astakhov, A. Shabunin, T. Kapitaniak, V.S. Anishchenko (1997). Loss of chaos synchronization though the sequence of bifurcations of saddle periodic orbits, Phys. Rev. Lett., 79, 1014-1017. PRL, PDF
  • Yu. Maistrenko, T. Kapitaniak, P. Szuminski (1997). Locally and globally riddled basins in two coupled piecewise-linear maps, Phys. Rev. E, 56, 6393-6399. PRE, PDF
  • V.V. Astakhov, V.S. Anishchenko, T. Kapitaniak, A. Shabunin (1997). Synchronization of chaotic oscillators by periodic parametric perturbations, Physica D 109, 11-16. Physicca D, PDF
  • T. Kapitaniak, L.O. Chua , G.-Q. Zhong (1997). Experimental Evidence of Locally Intermingled Basins of Attraction in Coupled Chua's Circuits, Chaos, Solitons and Fractals, 8, 1517-1522. CS&F, PDF

= 1996 =

  • T. Kapitaniak, M. Sekieta, M. Ogorzalek (1996). Monotone synchronization of chaos, Int. J. Bifurcation and chaos, 6, 211-217. IJCS PDF
  • T. Kapitaniak, K.-E. Thylwe, J. Wojewoda (1996). On transverse stability of synchronized chaotic attractors, Chaos, Solitons and Fractals 7, 1569-1581. CS&F, PDF
  • T. Kapitaniak , K.-E. Thylwe (1996). Monotonic stability, Chaos, Solitons and Fractals 7, 1411-1415. CS&F, PDF
  • T. Kapitaniak (1996). Uncertainty in coupled chaotic systems: Locally intermingled basins of attraction, Phys. Rev. E 53, 1524-1528. PRE, PDF
  • A. Stefanski, T. Kapitaniak (1996). Steady state locking in coupled chaotic systems, Phys. Lett. A 210, 279-282. PLA, PDF
  • T. Kapitaniak, J. Wojewoda, J. Brindley (1996). Synchronization and desynchronization in quasi-hyperbolic systems, Phys. Lett. A 210, 283-289. PLA, PDF
  • M. Sekieta , T. Kapitaniak (1996) Practical synchronization of chaos via nonlinear feedback scheme, Int. J. Bifurcation and Chaos, 6, 1901-1907. IJBC, PDF
  • B. Blazejczyk-Okolewska, T. Kapitaniak (1996). Dynamics of impact oscillator with dry friction, Chaos, Solitons and Fractals, 7, 1455-1459. CS&F, PDF
  • A. Stefanski, T. Kapitaniak, J. Brindley (1996). Dynamics of coupled Lorenz systems and its geophysical implications, Physica D 98, 594-598. Physica D, PDF
  • K. Czolczynski, T. Kapitaniak (1996). Controlling Hopf bifurcation in transients, Machine Vibrations, 5, 89-91. MV, PDF
  • K. Czolczynski, T. Kapitaniak, K. Marynowski (1996). Stability of rotors supported in gas bearings with bushes mounted in air rings, Wear, 199, 100-112. Wear, PDF
  • Yu. Maistrenko, T. Kapitaniak (1996). Different types of chaos synchronization in two coupled linear maps, Phys. Rev. E 54, 6531-6538. PRE, PDF
  • T. Kapitaniak, L.O. Chua (1996). Locally intermingled basins of attraction in coupled Chua's circuits, Int. J. Bifurcation and Chaos, 6, 357-366. IJBC, PDF

= 1995 =

  • T. Kapitaniak, J. Brindley, L. Kocarev (1995). Controlling chaos by chaos in geophysical systems, Geophysical Research Letters, 22, 1257-1260. GRL, PDF
  • T. Kapitaniak, K.-E. Thylwe, I. Cohen, J. Wojewoda (1995). Chaos-hyperchaos transition, Chaos, Solitons and Fractals , 5, 2001-2012. CS&F, PDF
  • T. Kapitaniak (1995). Continuous control and synchronization in chaotic systems, Chaos, Solitons and Fractals 6, 237-244. CS&F, PDF
  • L. Kocarev, T. Kapitaniak (1995). On an equivalence of chaotic attractors, J. Phys. A. 28, 249-254. JHA, PDF
  • K. Marynowski, K. Czolczynski , T. Kapitaniak (1995). Instabilities of the visco-elastic rotor subjected to a follower force, J. Sound and Vibr , 180, 362-367. JSV, PDF
  • T. Kapitaniak (1995) Distributions of transient Lyapunov exponents in quasiperiodically forced systems, Progress in Theoretical Physics, 93, 831-833. PTP, PDF
  • T. Kapitaniak (1995). Experimental observation of riddled behaviour, J. Phys. A 28, 63-66. JPA, PDF
  • T. Kapitaniak (1995). Mechanism of noise-induced resonance, Phys. Rev. E. 52, 1200-1201. PRE, PDF

= 1994 =

  • T. Kapitaniak , L.O. Chua (1994). Hyperchaotic attractors of unidirectionally coupled Chua`s circuits, Int. J. Bifurcation and Chaos, 4, 477-483. IJBC, PDF
  • T. Kapitaniak, L.O. Chua , G.-Q. Zhong (1994). Experimental synchronization of chaos using continuous control, Int. J. Bifurcation and Chaos, 483-488. IJBC, PDF
  • T. Kapitaniak (1994). Stochastic resonance as crisis, Phys. Rev. E 49, 5855-5858. PRE, PDF
  • T. Kapitaniak (1994). Synchronization of chaos using continuous control, Phys. Rev. E 50, 1642-1644. PRE, PDF
  • J. Brindley, T. Kapitaniak, K. Kaneko (1994). Spatio-temporal chaos in closed and open systems, Chaos, Solitons and Fractals, 4, 1193-1209. CS&F, PDF
  • T. Kapitaniak, L.O. Chua, G.-Q. Zhong (1994). Experimental hyperchaos in coupled Chua`s circuits, IEEE Trans. Circuits and Systems, 41, 499-503. IEEE, PDF
  • B. Blazejczyk, T. Kapitaniak, J. Wojewoda, R. Barron (1994). Experimental observation of intermittent chaos in a mechanical system with impacts, J. Sound and Vibr., 178, 272-275. JSV, PDF
  • V. S. Anishchenko, T. Kapitaniak, M.A. Safonova, O.V. Sosnovzeva (1994). Birth of double-double-scroll in two coupled Chua`s circuits, Phys. Lett. A 192, 207-214. PLA PDF
  • T. Kapitaniak (1994). Chaos-hyperchaos intermittency, Progress in Theoretical Physics, 92, 1033-1037. PTP PDF

= 1993 =

  • J. Wojewoda, T. Kapitaniak, R. Barron, J. Brindley (1993). Complex behaviour of experimental quasiperiodically forced system with dry friction. Chaos, Solitons and Fractals, 3, 35-46. CS&F PDF
  • T. Kapitaniak (1993). Generating a strange nonchaotic trajectory, Phys. Rev. E 47, 1408-1410. PRE PDF
  • R. Barron, J. Brindley, T. Kapitaniak, J. Wojewoda (1993). Interpretation of aperiodic time series: New view of dry friction, J. Sound Vibr., 162, 369-375. JSV PDF
  • T. Kapitaniak (1993). Targetting unstable stationary states of Chua`s circuit. J. of Circuits, Systems and Computers, 3, 195-200. Reprinted in: Chua`s Circuit: Paradigm for Chaos, R. Madan (ed.), World Scientific, Singapore 1993, pp.476-480. JCSC PDF
  • B. Blazejczyk, T. Kapitaniak, J. Wojewoda, J. Brindley (1993). Controlling chaos in mechanical systems. Applied Mechanics Review, 46, 385-393. AMR PDF
  • T. Kapitaniak (1993). Transition to hyperchaos in chaotically forced coupled oscillators. Phys. Rev. E 47, 2975-2979. PRE PDF
  • T. Kapitaniak (1993). Analytical method of controlling chaos in Duffing`s oscillator, J. Sound Vibr., 163, 182-187. JSV PDF
  • J. Wojewoda , T. Kapitaniak (1993). Oscillations of quasiperiodically forced system with dry friction. J. Sound Vibr. 163, 379-384. JSV PDF
  • T. Kapitaniak, Lj. Kocarev, L.O. Chua (1993). Controlling chaos without feedback and control signals. Int. J. of Bifurcation and Chaos, 3, 459-468. IJBC PDF
  • T. Kapitaniak (1993). Stochastic resonanse in chaotically forced systems. Chaos, Solitons and Fractals, 3, 405-410. CS&F PDF

= 1992 =

  • J. Wojewoda, R. Baron, T. Kapitaniak (1992). Chaotic properties of friction force, Int. J of Bifurcation and Chaos, 2(1), 205. IJBC PDF
  • M. S. El Naschie, S. Al Athel, T. Kapitaniak (1992). A note on elastic turbulence, J. Sound Vibr., 155, 115. JSV PDF
  • T. Kapitaniak (1992). Strange nonchaotic transients, J. Sound Vibr., 158, 189-194. JSV PDF
  • J. Brindley, T. Kapitaniak, A. Barcilon (1992). Chaos and noisy periodicity in forced ocean-atmosphere models, Phys. Lett. 167A, 179-184. PLA PDF
  • T. Kapitaniak (1992). Controlling chaotic oscillators without feedback. Chaos, Solitons and Fractals, 2, 519-530. CS&F PDF
  • T. Kapitaniak (1992). Chaotic Stochastic Processes in Nonlinear Dynamics, International Journal of Engineering 3, 11-33. IJE PDF
  • T. Kapitaniak (1992). Noise reduction in chaotic systems, Communications in Theoretical Physics, 1(2), 18-25. CTP PDF

= 1991 =

  • T. Kapitaniak, W.-H. Steeb (1991). Transition to hyperchaos in coupled generalized van der Pol's equations, Phys. Lett., 152A, 33. PLA PDF
  • T. Kapitaniak (1991). The loss of chaos in a quasiperiodically forced nonlinear oscillator, Int. J of Bifurcation and Chaos, 1(2), 357. IJBC PDF
  • T. Kapitaniak (1991). On strange nonchaotic attractors and their dimensions, Chaos, Solitons and Fractals , 1(1), 67. CS&F PDF
  • T. Kapitaniak, M. S. El Naschie (1991). A note on randomness and strange behaviour, Phys. Lett. 154A, 249. PLA PDF
  • J. Brindley, T. Kapitaniak, M. S. El Naschie (1991). Analytical conditions for strange chaotic and nonchaotic attractors of quasiperiodically forced van der Pol`s equation, Physica 51D, 28. PHYS. D PDF
  • J. Brindley, T. Kapitaniak (1991). Analytic predictors for strange nonchaotic attractors, Phys. Lett. 155A, 361. PLA PDF
  • T. Kapitaniak, J. Brindley (1991). Existence and characterization of strange nonchaotic attractors in nonlinear systems. Chaos, Solitons and Fractals, 1(4), 323. CS&F PDF

= 1990 =

  • T. Kapitaniak, J. Wojewoda (1990). Strange nonchaotic attractors of a quasiperiodically forced van der Pol's oscillator, J. Sound. Vibr, 138(1), 162. JSV PDF
  • T. Kapitaniak (1990). Analytical condition for chaotic behaviour of the Duffing oscillator, Phys. Lett., 144A, 322. PLA PDF
  • T. Kapitaniak, E. Ponce, J. Wojewoda (1990). Route to chaos via strange nonchaotic attractors, J. Phys. A, 23, L383. PLA PDF
  • M. S. El Naschie, T. Kapitaniak (1990). Soliton chaos models for mechanical and biological elastic chains, Phys. Lett. 147A, 275. PLA PDF
  • T. Kapitaniak, W.-H. Steeb (1990). Transition to chaos in a generalized van der Pol's equation, J. Sound Vibr., 143(1), 167. JSV PDF

= 1988 =

  • T. Kapitaniak (1988). Combined bifurcation and transition to chaos in the non-linear oscillator with two external periodic forces, J. Sound Vibr., 121(2), JSV PDF
  • T. Kapitaniak (1988). Chaos in noisy mechanical system with stress relaxation, J. Sound Vibr., 123(3), 391-396. JSV PDF
  • T. Kapitaniak (1988). Response of a non-linear system to the two step Markov noise: Non-Markovian averaging, J. Sound Vibr., 121(2), 369-374. JSV PDF
  • T. Kapitaniak, J. Wojewoda (1988). Chaos in a limit-cycle system with almost periodic excitation, J. Phys. A., L843. JPA PDF
  • T. Kapitaniak (1988). A simple model of a human response to a sequence of random collisions, Mechanical Research Communications, 19(1), 1-17. MRC PDF

= 1987 =

  • T. Kapitaniak (1987). Quantifying chaos with amplitude probability density function, J. Sound Vibr., 114, issue 3, pp. 588-592. JSV PDF
  • T. Kapitaniak (1987). Chaotic behaviour of anharmonic oscillators with time delay, J. Phys. Soc. Japn, 1951-1954. JPSJ PDF
  • T. Kapitaniak, J. Awrejcewicz, W.-H. Steeb (1987). Chaotic behaviour of anharmonic oscillator with almost periodic excitation, J. Phys. A, 20(4), L355-358. JPA PDF
  • T. Kapitaniak (1987). Vibration of the pulsatory braking vehicle, Vehicle System Dynamics, 6, 1, 27-35. VSD PDF

= 1986 =

  • T. Kapitaniak (1986). Chaotic distribution of non-linear system perturbed by random noise, Phys. Lett., 116A, 281-284. PLA PDF
  • T. Kapitaniak (1986). A property of the stochastic response with bifurcation to non-linear system, J. Sound Vibr., 107(1), 177-180. JSV PDF
  • W.-H. Steeb, J. A. Louw, T. Kapitaniak (1986). Chaotic behaviour of an anharmonic oscillator with two external periodic forces, J. Phys. Soc. Japn., 55(9), 3279-3281. JPSJ PDF
  • T. Kapitaniak (1986). Non-Markovian parametrical vibration, Int. J. Engineering Science, 24(8), 1335-1337. IJES PDF

= 1985 =

  • T. Kapitaniak (1985). Stochastic response with bifurcation to non-linear Duffing's oscillator, J. Sound Vibr., 102(3), 440-441. JSV PDF
  • T. Kapitaniak (1985). Selection of the characteristic of the vertical rigidity of the suspension of a vehicle equipped with an antislip system, Int. J. Vehicle Design, 6, 4/5, 577-579. IJVD PDF
Other publications

Publications on Chess Theory - Papers

  • T. Kapitaniak (1985) New adventures with the Latvian Gambit, The South African Chess Player, 10, 121-124
  • T. Kapitaniak (1983) Akiba Rubinstein, Chess (UK), 48, 6-8
  • T. Kapitaniak (1983) Comments on Kapitaniak-Welling game, Chess (UK), 47, 331-332
  • T. Kapitaniak (1981) Metamorphosis of backward pawns, Chess (UK), 46, 180-181
  • T. Kapitaniak (1981) Psychology in postal chess, Chess (UK), 46, 132-133

Publications on Chess Theory - Books

  • T. Kapitaniak (1985). Polish Defence, Chess Enterprises, Inc, Coraopolis, Pennsylvania (second edition 1996)
  • T. Kapitaniak (1985) Sicilian Defence: Wings Gambit, Chess Enterprises, Inc, Coraopolis, Pennsylvania
  • T. Kapitaniak (1982) Nimzovitch Defence, The Chess Player, Nottingham
  • T. Kapitaniak (1982) b6!, The Chess Player, Nottingham
  • T. Kapitaniak (1980) Latvian Gambit, The Chess Player, Nottingham

Publications on History - Books

  • T. Kapitaniak (2002) Bannockburn 1314, Ibidem, Lodz (in Polish)
  • T. Kapitaniak (2000) Historia Szkocji (History of Scotland), Ibidem, Lodz (in Polish)
Entry date: 2015-07-29
Modified: 2017-03-31
Entered by: J Wojewoda