A unified approach for impulsive lag synchronization of chaotic systems with time delay

被引:46
作者
Li, CD
Liao, XF
Zhang, R
机构
[1] Chongqing Univ, Coll Comp Sci & Engn, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Coll Econ & Business Adm, Chongqing 400030, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2004.06.026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we propose a unified approach for impulsive lag-synchronization of a class of chaotic systems with time delay by employing the stability theory of impulsive delayed differential equations. Three well-known delayed chaotic systems are presented to illustrate our results. Also, the estimates of the stable regions for these systems are given, respectively. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1177 / 1184
页数:8
相关论文
共 28 条
[1]   ON THE STABILITY OF COUPLED CHEMICAL OSCILLATORS [J].
BARELI, K .
PHYSICA D, 1985, 14 (02) :242-252
[2]   Chaotic lag synchronization and pulse-induced transient chaos in lasers coupled by saturable absorber [J].
Barsella, A ;
Lepers, C .
OPTICS COMMUNICATIONS, 2002, 205 (4-6) :397-403
[3]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[4]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[5]   DIGITAL-COMMUNICATION WITH SYNCHRONIZED CHAOTIC LASERS [J].
COLET, P ;
ROY, R .
OPTICS LETTERS, 1994, 19 (24) :2056-2058
[6]   DYNAMICS OF GLOBALLY COUPLED INHIBITORY NEURONS WITH HETEROGENEITY [J].
GOLOMB, D ;
RINZEL, J .
PHYSICAL REVIEW E, 1993, 48 (06) :4810-4814
[7]  
GOPALSMAY K, 1994, IEEE T NEURAL NETWOR, V8, P341
[8]  
GRASSI G, 1997, IEEE T CAS, V44, P1143
[9]   Error analysis for delay synchronization of chaotic system [J].
Huang, XG ;
Xu, JX ;
Huang, W ;
Zhu, FC .
ACTA PHYSICA SINICA, 2001, 50 (12) :2296-2302
[10]   Generalized synchronization of chaos in electronic circuit experiments [J].
Kittel, A ;
Parisi, J ;
Pyragas, K .
PHYSICA D-NONLINEAR PHENOMENA, 1998, 112 (3-4) :459-471