Chaos synchronization of Lü dynamical system

Abstract Chaos synchronization of two identical Lu systems is studied theoretically and numerically. Three methods of chaos synchronization are applied in this study; Pecora and Carroll, one-way coupling and adaptive control. The sufficient conditions for achieving synchronization of two identical Lu systems are derived by using Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness of the proposed chaos synchronization schemes.

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