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The synchronization of chaotic systems
Phase synchronization of chaotic oscillators by external driving
Synchronization in Oscillatory Networks
Basics on Synchronization and Paradigmatic Models.- Basic Models.- Synchronization Due to External Periodic Forcing.- Synchronization of Two Coupled Systems.- Synchronization in Geometrically Regular…
PHASE SYNCHRONIZATION EFFECTS IN A LATTICE OF NONIDENTICAL ROSSLER OSCILLATORS
We study phase synchronization in a chain of weakly coupled chaotic oscillators. In the synchronous state, the phases of oscillators are locked, while the amplitudes remain chaotic. We demonstrate…
Phase synchronization in ensembles of bursting oscillators.
It is inferred that the demonstrated phenomenon can be used efficiently for controlling bursting activity in neural ensembles and proposes an explanation of the mechanism behind this effect.
Attractor-Repeller Collision and Eyelet Intermittency at the Transition to Phase Synchronization
The chaotically driven circle map is considered as the simplest model of phase synchronization of a chaotic continuous-time oscillator by external periodic force. The phase dynamics is analyzed via…
Three types of transitions to phase synchronization in coupled chaotic oscillators.
- G. Osipov, Bambi Hu, Changsong Zhou, M. Ivanchenko, J. Kurths
- PhysicsPhysical review letters
- 11 July 2003
Depending on the coherence properties of oscillations characterized by the phase diffusion, three types of transitions to phase synchronization are found, including phase locking, phase locking and phase synchronization sets in via an interior crises of the hyperchaotic set.
Introduction to Focus Issue: synchronization in complex networks.
This interdisciplinary oriented Focus Issue presents recent progress in synchronization in large ensembles of coupled interacting units with contributions on generic methods, specific model studies, and applications.
Synchronized clusters and multistability in arrays of oscillators with different natural frequencies
Cluster synchronization in oscillatory networks.
The conditions for cluster partitioning into ensembles for identical chaotic systems are studied, focusing mainly on the existence and the stability of unique unconditional clusters whose rise does not depend on the origin of the other clusters.