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Zbl 1067.37043
Lü, Jinhu; Zhou, Tianshou; Zhang, Suochun
Chaos synchronization between linearly coupled chaotic systems. (English)
[J] Chaos Solitons Fractals 14, No. 4, 529-541 (2002). ISSN 0960-0779

Summary: This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of the synchronization of solutions is presented. Using this method, some sufficient conditions for the linear stability of the synchronization of chaotic solutions are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: the Lorenz system, the Chen system, and the newly found Lü system.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C28 Other types of "recurrent" solutions of ODE

Keywords: synchronization; chaotic solutions; Lorenz system; Chen system; Lü system; coupling coefficients; stability

Cited in: Zbl 1063.37030

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