Synchronous chaos in coupled oscillator systems
- 1 September 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (3), 1874-1885
- https://doi.org/10.1103/physreve.50.1874
Abstract
We investigate the synchronization of chaotic oscillations in coupled oscillator systems, both theoretically and in analog electronic circuits. Particular attention is paid to deriving and testing general conditions for the stability of synchronous chaotic behavior in cases where the coupled oscillator array possesses a shift-invariant symmetry. These cases include the well studied cases of nearest-neighbor diffusive coupling and all-to-all or global coupling. An approximate criterion is developed to predict the stability of synchronous chaotic oscillations in the strong coupling limit, when the oscillators are coupled through a single coordinate (scalar coupling). This stability criterion is illustrated numerically in a set of coupled Rössler-like oscillators. Synchronization experiments with coupled Rössler-like oscillator circuits are also carried out to demonstrate the applicability of the theory to real systems.This publication has 56 references indexed in Scilit:
- Stability results for in-phase and splay-phase states of solid-state laser arraysJournal of the Optical Society of America B, 1993
- Coupling among three chemical oscillators: Synchronization, phase death, and frustrationPhysical Review E, 1993
- Dynamical spatial-pattern memory in globally coupled lasersPhysical Review A, 1992
- Chaos in a multimode solid-state laser systemChaos: An Interdisciplinary Journal of Nonlinear Science, 1991
- Synchronized chaos and spatiotemporal chaos in arrays of coupled lasersPhysical Review Letters, 1990
- Collective dynamics of coupled oscillators with random pinningPhysica D: Nonlinear Phenomena, 1989
- On the stability of coupled chemical oscillatorsPhysica D: Nonlinear Phenomena, 1985
- Chemical Oscillations, Waves, and TurbulenceSpringer Series in Synergetics, 1984
- Threshold Behavior of Charge-Density Waves Pinned by ImpuritiesPhysical Review Letters, 1983
- The Geometry of Biological TimePublished by Springer Science and Business Media LLC ,1980