Chaos synchronization between linearly coupled chaotic systems

被引：264
|
作者：
Lü, JH [1 ]
Zhou, TS
Zhang, SC
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 04期
关键词：
D O I：
10.1016/S0960-0779(02)00005-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method. some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system. Chen system, and newly found Lid system. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：529 / 541
页数：13
相关论文
共 50 条
  • [21] Chaos synchronization in coupled phase systems
    Shalfeev, VD
    Matrosov, VV
    Korzinova, MV
    [J]. ISCAS '98 - PROCEEDINGS OF THE 1998 INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-6, 1998, : C580 - C582
  • [22] Synchronization of coupled systems with spatiotemporal chaos
    Grassberger, P
    [J]. PHYSICAL REVIEW E, 1999, 59 (03) : R2520 - R2522
  • [23] Synchronization of linearly coupled unified chaotic systems based on linear balanced feedback scheme with constraints
    Chen, Heng-Hui
    Chen, Chaio-Shiung
    Lee, Ching-I
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1041 - 1049
  • [24] Coherent synchronization in linearly coupled nonlinear systems
    Zhou, Tianshou
    Chen, Guanrong
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (05): : 1375 - 1387
  • [25] Synchronization of mutually coupled chaotic systems
    Tang, DY
    Heckenberg, NR
    [J]. PHYSICAL REVIEW E, 1997, 55 (06): : 6618 - 6623
  • [26] Synchronization and Control of Linearly Coupled Singular Systems
    Fang Qingxiang
    Peng Jigen
    Cao Feilong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [27] Generalized synchronization of coupled chaotic systems
    S. Acharyya
    R. E. Amritkar
    [J]. The European Physical Journal Special Topics, 2013, 222 : 939 - 952
  • [28] Generalized synchronization of coupled chaotic systems
    Acharyya, S.
    Amritkar, R. E.
    [J]. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 222 (3-4): : 939 - 952
  • [29] Generalized synchronization in coupled chaotic systems
    Zhang, YD
    Liu, YQ
    ZHang, LQ
    [J]. PROCEEDINGS OF THE 3RD WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-5, 2000, : 3251 - 3254
  • [30] Chaos synchronization between two different chaotic systems using active control
    Yassen, MT
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (01) : 131 - 140
12345