混沌和超混沌系统控制的辅助系统设计方法

Journal of Applied Sciences ›› 2004, Vol. 22 ›› Issue (1): 66-70.

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The Auxiliary System Method of Controlling Chaotic and Hyperchaotic Systems

CHEN Mao-yin¹, HAN Zheng-zhi¹, SHANG Yun²

1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China

Received:2002-10-14 Revised:2003-02-25 Online:2004-03-31 Published:2004-03-31

Abstract

Abstract: This paper proposes an auxiliary system method for controlling chaotic and hyperchaotic systems. We can thus design auxiliary systems for arbitrary chaotic and hyperchaotic systems. An iteration control law is designed to stabilize unstable periodic orbits in the chaotic attractor. Numerical simulation of the Lorenz system and a hyperchaotic system verifies the effectiveness of this method.

Key words: chaotic system, control, hyperchaotic system, auxiliary system

CLC Number:

TP18

CHEN Mao-yin, HAN Zheng-zhi, SHANG Yun. The Auxiliary System Method of Controlling Chaotic and Hyperchaotic Systems[J]. Journal of Applied Sciences, 2004, 22(1): 66-70.

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The Auxiliary System Method of Controlling Chaotic and Hyperchaotic Systems

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