102 citations · 639 across the 23 of their papers we have counts for
11 papers · 1 filter
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser
S. Leo Kingston, Arindam Mishra, Marek Balcerzak +2
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goe…
Chimera states for directed networks
Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak +1
We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillat…
Routes to extreme events in dynamical systems: Dynamical and Statistical Characteristics
Arindam Mishra, S. Leo Kingston, Chittaranjan Hens +3
Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dyn…
Solitary states for coupled oscillators
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko +3
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic a…
Perpetual points: New tool for localization of co-existing attractors in dynamical systems
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
Perpetual points (PPs) are special critical points for which the magnitude of acceleration describing dynamics drops to zero, while the motion is still possible (stationary points…
The smallest chimera states
Yuri Maistrenko, Serhiy Brezetsky, Patrycja Jaros +2
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras…
Perpetual points and periodic perpetual loci in maps
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic exa…
Controlling multistability by discontinuous dissipative coupling
P. Brzeski, E. Pavlovskaia, T. Kapitaniak +1
In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact…
Synchronous motion of two vertically excited planar elastic pendula
Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and…
The dynamics of the pendulum suspended on the forced Duffing oscillator
Piotr Brzeski, Przemyslaw Perlikowski, Serhiy Yanchuk +1
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitat…
Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps
Marcos C. Verges, Rodrigo Frehse Pereira, Sergio R. Lopes +2
We investigate the parametric evolution of riddled basins related to synchronization of chaos in two coupled piecewise-linear Lorenz maps. Riddling means that the basin of the sync…