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Chaos synchronization of different chaotic systems subjected to input nonlinearity. (English) Zbl 1135.65409

Summary: A unified mathematical expression describing a class of synchronization systems is presented, for which the problem of chaos synchronization between different chaotic systems with input nonlinearity is studied. Based on the Lyapunov stability theory, a sliding mode controller and some generic sufficient conditions for global asymptotic synchronization are designed such that the error dynamics of two different chaotic motions satisfy the stability in the Lyapunov sense in spite of the input nonlinearity. This technique is applied to achieve chaos synchronization of three pairs of different chaotic systems (Lorenz-Chen, Chen-Liu, and Liu-Lorenz) in drive-response structure. The numerical simulation results demonstrate the validity and feasibility of the proposed controller.

MSC:

65P20 Numerical chaos
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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