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Zbl 1221.93123
Al-Sawalha, M.Mossa; Noorani, M.S.M.
Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 1036-1047 (2010). ISSN 1007-5704

Summary: This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the hyperchaotic Chen system is controlled to be the hyperchaotic Lü system. Theoretical analysis and numerical simulations are shown to verify the results.

MSC 2000:: *93C40 Adaptive control systems
34H10
34C28 Other types of "recurrent" solutions of ODE
34D06

Keywords: hyperchaotic Lü system; hyperchaotic Chen system; anti-synchronization; adaptive control; unknown parameters

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