Cluster synchronization modes in an ensemble of coupled chaotic oscillators
Open Access
- 27 February 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 63 (3) , 036216
- https://doi.org/10.1103/physreve.63.036216
Abstract
Considering systems of diffusively coupled identical chaotic oscillators, an effective method to determine the possible states of cluster synchronization and ensure their stability is presented. The method, which may find applications in communication engineering and other fields of science and technology, is illustrated through concrete examples of coupled biological cell models.This publication has 19 references indexed in Scilit:
- Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systemsPhysical Review E, 1998
- Master Stability Functions for Synchronized Coupled SystemsPhysical Review Letters, 1998
- Synchronization of oscillators with random nonlocal connectivityPhysical Review E, 1996
- Short Wavelength Bifurcations and Size Instabilities in Coupled Oscillator SystemsPhysical Review Letters, 1995
- Application of graph theory to the synchronization in an array of coupled nonlinear oscillatorsIEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- Synchronous chaos in coupled oscillator systemsPhysical Review E, 1994
- Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elementsPhysica D: Nonlinear Phenomena, 1990
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Scaling Behaviors of Characteristic Exponents near Chaotic Transition PointsProgress of Theoretical Physics, 1984
- Stability Theory of Synchronized Motion in Coupled-Oscillator SystemsProgress of Theoretical Physics, 1983