A function cascade synchronization method with unknown parameters and applications |
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Authors: | An Hong-Li and Chen Yong |
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Affiliation: | Nonlinear Science Center and Department ofMathematics, Ningbo University,Ningbo 315211, China;Key Laboratory of Mathematics Mechanization, ChineseAcademy of Sciences, Beijing 100080, China |
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Abstract: | This paper investigates the function cascade synchronization ofchaos system. Combining cascade synchronization scheme, parametricadaptive control and projective synchronization scheme, it proposesa new function cascade synchronization scheme to address ageneralized-type synchronization problem of three famous chaoticsystems: the Lorenz system, Liu system and R"{o}ssler system, thestates of two identical chaotic systems with unknown parameters canbe asymptotically synchronized by choosing different specialsuitable error functions. Numerical simulations are used to verifythe effectiveness of the proposed synchronization techniques. |
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Keywords: | chaos projectivesynchronization function projective synchronization cascadesynchronization adaptive control |
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