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- Serhiy Yanchuk, Tomasz Kapitaniak
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

In weakly coupled systems, it is possible to observe the coexistence of the chaotic attractors which are located out of the invariant manifold and are not symmetrical in relation to this manifold.â€¦ (More)

- Krzysztof Czolczynski, Przemyslaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak
- I. J. Bifurcation and Chaos
- 2011

We repeat Huygensâ€™ experiment using real pendulum clocks in the same way as it was done originally, i.e., we hang two clocks on the same beam and observe the behavior of the pendulums. The clocks inâ€¦ (More)

- Jerzy Wojewoda, Andrzej Stefanski, Marian Wiercigroch, Tomasz Kapitaniak
- Philosophical transactions. Series Aâ€¦
- 2008

In this paper, the phenomena of hysteretic behaviour of friction force observed during experiments are discussed. On the basis of experimental and theoretical analyses, we argue that such behaviourâ€¦ (More)

- Andrzej Stefanski, Przemyslaw Perlikowski, Tomasz Kapitaniak
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We discuss synchronization thresholds in an array of nondiagonally coupled oscillators. We argue that nondiagonal coupling can cause the appearance or disappearance of desynchronous windows in theâ€¦ (More)

- M. Kapitaniak, J. Strzalko, J. Grabski, Tomasz Kapitaniak
- Chaos
- 2012

A three-dimensional model of a die throw which considers the die bounces with dissipation on the fixed and oscillating table has been formulated. It allows simulations of the trajectories for diceâ€¦ (More)

We study the dynamics of a ring of unidirectionally coupled autonomous Duffing oscillators. Starting from a situation where the individual oscillator without coupling has only trivial equilibriumâ€¦ (More)

- Serhiy Yanchuk, Andrzej Stefanski, Tomasz Kapitaniak, Jerzy Wojewoda
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We consider the dynamics of a linear array of coupled semiconductor lasers. Particular attention is paid to the synchronous states, which are caused by the permutation of two outer lasers. A systemâ€¦ (More)

- Tomasz Kapitaniak, Patrycja Kuzma, Jerzy Wojewoda, Krzysztof Czolczynski, Yuri L. Maistrenko
- Scientific reports
- 2014

The phenomenon of chimera states in the systems of coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interest. In such a state, different groups ofâ€¦ (More)

We consider the synchronization of two clocks which are accurate (show the same time) but have pendulums with different masses. We show that such clocks hanging on the same beam beside the completeâ€¦ (More)

- Viet-Thanh Pham, Sajad Jafari, Christos K. Volos, Aggelos Giakoumis, Sundarapandian Vaidyanathan, Tomasz Kapitaniak
- IEEE Transactions on Circuits and Systems IIâ€¦
- 2016

A new 3-D chaotic system with infinitely many equilibria is proposed in this brief. It is exciting that these equilibrium points are located on a rounded square loop. Dynamical properties and theâ€¦ (More)