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物理学报  2010 

Precise placement of all Lyapunov exponents for discrete-time dynamical systems
精确配置离散动力系统的所有Lyapunov指数

Keywords: discrete-time dynamical system,anticontrol of chaos,control of chaos,Lyapunov exponents placement
离散时间系统
,混沌反控制,混沌控制,Lyapunov指数配置

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Abstract:

In this paper, a new algorithm for all Lyapunov Exponents precisely configuraling a discrete-time dynamical system is proposed. A given deterministic discrete-time dynamical system can be chaotified by the algorithm. A new feed-back controller is designed via moduling operation. All Lyapunov Exponents of the controlled system are equal to a given set of ones. The new controller is simple and can be used to control or anti-control a chaotic system . The corresponding proof as well as two illustrative examples are presented. The simulation results show the effectiveness of the algorithm.

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