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Adaptive synchronization between two different hyperchaotic systems
Authors:Xianyong Wu  Zhi-Hong Guan  Zhengping Wu
Institution:1. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China;2. School of Electronics and Information, Yangtze University, Jingzhou, Hubei, 434023, China
Abstract:This work presents chaos synchronization between two different hyperchaotic systems using adaptive control. The sufficient conditions for achieving synchronization of two high dimensional chaotic systems are derived based on Lyapunov stability theory, and an adaptive control law and a parameter update rule for unknown parameters are given such that generalized Henon–Heiles system is controlled to be hyperchaotic Chen system. Theoretical analysis and numerical simulations are shown to verify the results.
Keywords:Chaos  Synchronization  Adaptive control  Hyperchaotic system
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