On stability and bifurcation of Chen's system

被引：49
作者：
Li, TC
Chen, GR [1 ]
Tang, Y
机构：
[1] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 05期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/S0960-0779(03)00334-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article investigates some subtle characteristics of stability and bifurcation of the chaotic Chen's system, based on rigorous mathematical analysis and symbolic computations. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1269 / 1282
页数：14
相关论文
共 28 条
[1]   Synchronization of Rossler and Chen chaotic dynamical systems using active control [J].
Agiza, HN ;
Yassen, MT .
PHYSICS LETTERS A, 2001, 278 (04) :191-197
[2]   On a generalized Lorenz canonical form of chaotic systems [J].
Celikovsky, S ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08) :1789-1812
[3]  
Chen G., 1998, CHAOS ORDER METHODOL
[4]  
Chen G., 1999, CONTROLLING CHAOS BI
[5]   Feedback anticontrol of discrete chaos [J].
Chen, GR ;
Lai, DJ .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07) :1585-1590
[6]  
Chen GR, 2003, LECT NOTES CONTR INF, V292, P159
[7]   Synchronization of an uncertain unified chaotic system via adaptive control [J].
Chen, SH ;
Lü, JH .
CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647
[8]   The adaptive control of Chen's chaotic system [J].
Guan, XP ;
Fan, ZP ;
Peng, HP ;
Wang, YQ .
ACTA PHYSICA SINICA, 2001, 50 (11) :2108-2111
[9]   On impulsive control and its application to Chen's chaotic system [J].
Guan, ZH ;
Liao, RQ ;
Zhou, F ;
Wang, HO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1191-1197
[10]  
Kuznetsov Y., 1998, ELEMENTS APPL BIFURC
123