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Adaptive synchronization between two different chaotic systems with unknown parameters. (English) Zbl 1195.93121

Summary: A unified mathematical expression describing a class of chaotic systems is presented, for which the problem of adaptive synchronization between two different chaotic systems with unknown parameters has been studied. Based on Lyapunov stability theory, an adaptive synchronization controller is designed and analytic expression of the controller and the adaptive laws of parameters are developed. The adaptive synchronizations between Lorenz and Chen systems, a modified Chua’s circuit and Rössler systems are taken as two illustrative examples to show the effectiveness of the proposed method.

MSC:

93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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