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Adaptive synchronization of the fractional-order unified chaotic system. (Chinese. English summary) Zbl 1212.37058

Summary: This article proposes an adaptive synchronization method with only one controller for the fractional-order unified chaotic system, and adaptive controller and updating law of parameter are obtained. The controller employs a single variable, and the presented control scheme is suitable for a class of fractional-order chaotic systems. In addition, the synchronization is effective in the presence of noise. Numerical simulations are used to validate and demonstrate the effectiveness of the proposed method.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C40 Adaptive control/observation systems
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