Mode decomposition for a synchronous state and its applications

Xiaohua Xiong, Junwei Wang, Yanbin Zhang and Tianshou Zhou

Chaos, Solitons & Fractals, 2007, vol. 31, issue 3, 718-725

Abstract: Synchronization of coupled dynamical systems including periodic and chaotic systems is investigated both anlaytically and numerically. A novel method, mode decomposition, of treating the stability of a synchronous state is proposed based on the Floquet theory. A rigorous criterion is then derived, which can be applied to arbitrary coupled systems. Two typical numerical examples: coupled Van der Pol systems (corresponding to the case of coupled periodic oscillators) and coupled Lorenz systems (corresponding to the case of chaotic systems) are used to demonstrate the theoretical analysis.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:3:p:718-725

DOI: 10.1016/j.chaos.2005.10.023

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