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周天寿

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期刊论文

Synchronization stability of three chaotic systems with linear coupling✩

周天寿Tianshou Zhou a Jinhu Lü bc Guanrong Chen c Yun Tang a

Physics Letters A 301(2002)231-240,-0001,():

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摘要/描述

This Letter introduces a new method-mode decomposition-for stability analysis of periodic orbits. Using this method, the stability of a periodic solution of an autonomous system, as well as the stability of synchronization within three chaotic systems with linear coupling, can be analyzed. As an example, a rigorous sufficient condition on the coupling coefficients for achieving chaos synchronization is obtained, for the case of three-coupled identical Lorenz systems. Numerical simulations are shown for demonstration.

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