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Chaos synchronization between linearly coupled chaotic systems. (English) Zbl 1067.37043
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:
37D45Strange attractors, chaotic dynamics
34C28Complex behavior, chaotic systems (ODE)