Adaptive synchronization between different hyperchaotic systems with fully uncertain parameters

Abstract Adaptive method is an effective way to synchronize different hyperchaotic systems. This work investigates the chaos synchronization between different hyperchaotic systems with fully unknown parameters, i.e., the synchronizations between Lorenz–Stenflo (LS) system and a novel dynamical system named CYQY system, and between LS system and hyperchaotic Chen system. Based on the Lyapunov stability theory, two new adaptive controllers with corresponding parameter update laws are designed such that the different hyperchaotic systems can be synchronized asymptotically. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.

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