Stability of Synchronized Chaos in Coupled Dynamical Systems

Preprint

21 January 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0201037

Abstract

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on coupling strengths which ensure the stability of synchronized chaos. Previous results in this area involving particular coupling schemes (e.g. global coupling and nearest neighbor diffusive coupling) are included as special cases of the present work.

Keywords

STABILITY OF SYNCHRONIZED
DIFFERENTIAL EQUATIONS
SYNCHRONIZED CHAOS
COUPLED DYNAMICAL
DYNAMICAL SYSTEMS
CHAOS IN COUPLED
COUPLING

All Related Versions

Version 1, 2002-01-21, ArXiv
Published version: Physics Letters A, 296 (4-5), 204.

This publication has 0 references indexed in Scilit: