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AN ITERATION METHOD FOR CHAOTIFYING AND CONTROLLING DYNAMICAL SYSTEMS

Intelligent Engineering Laboratory, Department of Automation, Shanghai Jiaotong University, 1954 Huashan Road, 200030, Shanghai, P. R. China

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ZHENGZHI HAN

Intelligent Engineering Laboratory, Department of Automation, Shanghai Jiaotong University, 1954 Huashan Road, 200030, Shanghai, P. R. China

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https://doi.org/10.1142/S0218127402004991Cited by:6 (Source: Crossref)

Abstract

This paper proposes a new iteration method for chaotifying and controlling dynamical systems. By applying this iteration method, the dimension of the given dynamical system can be reduced from to n to n-1. Moreover, the chaotified system is not necessarily Hurwitz stable originally. The iteration method is applied to three-dimensional systems for demonstration, for which a sufficient condition is obtained for chaotification. In addition, the iteration method can be used to control a class of chaotic systems. These results are illustrated via simulations on the Duffing oscillator and the Chen system.

This research was supported by the National Natural Foundation of China under grant no. 69874025.

Keywords:

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