General Stability Analysis of Synchronized Dynamics in Coupled Systems
Chaotic Dynamics
2009-11-07 v1
Abstract
We consider the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) in arbitrarily coupled dynamical systems (maps or ordinary differential equations). We develop a general approach, based on the master stability function and Gershgorin disc theory, to yield constraints on the coupling strengths to ensure the stability of synchronized dynamics. Systems with specific coupling schemes are used as examples to illustrate our general method.
Cite
@article{arxiv.nlin/0212051,
title = {General Stability Analysis of Synchronized Dynamics in Coupled Systems},
author = {Yonghong Chen and Govindan Rangarajan and Mingzhou Ding},
journal= {arXiv preprint arXiv:nlin/0212051},
year = {2009}
}
Comments
8 pages, 1 figure