General Stability Analysis of Synchronized Dynamics in Coupled Systems

Details General Stability Analysis of Synchronized Dynamics in Coupled Systems General Stability Analysis of Synchronized Dynamics in Coupled Systems

2002-12-27

arxiv.org/abs/nlin/0212051v1

Physical Review E, vol. 67, 026209 (2003)

Nonlinear Sciences

Chaotic Dynamics

8 pages, 1 figure

Scientific paper

10.1103/PhysRevE.67.026209

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.

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