A function cascade synchronization method with unknown parameters and applications
An Hong-Li(安红利)a)b) and Chen Yong(陈勇)a)b)†
a Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China; b Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China
Abstract This paper investigates the function cascade synchronization of chaos system. Combining cascade synchronization scheme, parametric adaptive control and projective synchronization scheme, it proposes a new function cascade synchronization scheme to address a generalized-type synchronization problem of three famous chaotic systems: the Lorenz system, Liu system and Rössler system, the states of two identical chaotic systems with unknown parameters can be asymptotically synchronized by choosing different special suitable error functions. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10735030), Zhejiang
Provincial Natural Science Foundations of China (Grant No Y604056),
Doctoral Foundation of Ningbo City, China (Grant No 2005A61030) and
Shanghai Leading Ac
Cite this article:
An Hong-Li(安红利) and Chen Yong(陈勇) A function cascade synchronization method with unknown parameters and applications 2008 Chin. Phys. B 17 98
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