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Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters. (English) Zbl 1217.37036

Summary: This Letter investigates the problem of synchronization between two different chaotic systems. A generic adaptive synchronization scheme is proposed for a class of chaotic systems with uncertain parameters. Based on the Lyapunov stability theorem, an adaptive controller and the corresponding parameters update laws are designed to synchronize two chaotic systems. Numerical simulations are also given to show the effectiveness of the proposed method.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34D06 Synchronization of solutions to ordinary differential equations
Full Text: DOI

References:

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