Synchronization of two hyperchaotic systems via adaptive control |
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| Authors: | Xianyong Wu Hongmin Zhang |
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| Institution: | aCollege of Electrical Engineering & Information Science, China Three Gorges University, Yichang, Hubei 443002, China;bSchool of Computer Science and Technology, Yangtze University, Jingzhou, Hubei 434023, China |
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| Abstract: | This letter presents chaos synchronization problem of two different hyperchaotic systems when the parameters of drive and response systems are fully unknown or uncertain. Based on Lyapunov stability theory, an adaptive control law and a parameter update rule for unknown parameters are derived such that two different high dimensional chaotic systems are to be synchronized. Hyperchaotic Chen system and Second-harmonic generation (SHG) system are taken as an illustrative example to show the effectiveness of the proposed method. |
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