Chaos synchronization of a new chaotic system via nonlinear control

被引：60

作者：

Zhang, Qunjiao ^{[1
]}

Lu, Jun-an ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2008年 / 37卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability - Bifurcation (mathematics) - Computer simulation - Lyapunov functions - Nonlinear control systems - Synchronization;

D O I：

10.1016/j.chaos.2006.08.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates chaos synchronization of a new chaotic system [Lu J, Chen G, Cheng D. A new chaotic system and beyond: the generalized Lorenz-like system. Int J Bifurcat Chaos 2004;14:1507-37]. Two kinds of novel nonlinear controllers are designed based on the Lyapunov stability theory. It can be viewed as an improvement to the existing results of reference [Park JH. Chaos synchronization of a chaotic system via nonlinear control. Chaos, Solitons & Fractals 2005;25:579-84] because we use less controllers but realize a global and exponential asymptotical synchronization. Numerical simulations are provided to show the effectiveness and advantage of this method. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：175 / 179

页数：5

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