An iteration method for chaotifying and controlling dynamical systems

被引：6

作者：

Chen, MY ^{[1
]}

Han, ZZ ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Intelligent Engn Lab, Shanghai 299939, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 05期

关键词：

chaotification; stabilization; nonlinear systems; iteration;

D O I：

10.1142/S0218127402004991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1173 / 1180

页数：8

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