The function cascade synchronization method and applications |
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| Authors: | Hongli An Yong Chen |
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| Affiliation: | aNonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;bInstitute of Theoretical Computing, East China Normal University, Shanghai 200062, China;cMM Key Lab, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | In this paper, a new function cascade synchronization method of chaos system is proposed to achieve generalized projective synchronization for chaotic systems. Based on Laypunov stability, the proposed synchronization technique is applied to three famous chaotic systems: the unified chaotic system, Liu system and Rössler system, which can make the states of two identical chaotic systems asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are presented to show the effectiveness. |
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| Keywords: | Chaos Projective synchronization Function projective synchronization Cascade synchronization Adaptive control |
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