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Zbl 1215.93114
Mahmoud, Gamal M.; Mahmoud, Emad E.
Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. (English)
[J] Nonlinear Dyn. 62, No. 4, 875-882 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: Our main objective in this work is to investigate complete synchronization (CS) of $n$-dimensional chaotic complex systems with uncertain parameters. An adaptive control scheme is designed to study the synchronization of chaotic attractors of these systems. We applied this scheme, as an example, to study complete synchronization of chaotic attractors of two identical complex Lorenz systems. The adaptive control functions and the parameters estimation laws are calculated analytically based on the complex Lyapunov function. We show that the error dynamical systems are globally stable. Numerical simulations are computed to check the analytical expressions of adaptive controllers.

MSC 2000:: *93C95 Appl. of control theory
37D45 Strange attractors, chaotic dynamics
34H10

Keywords: chaotic system; synchronization; uncertain; error function; Lyapunov function; complex

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