Chaos Q-S synchronization between Rossler system and the new unified chaotic system

被引:48
作者
Yan, ZY
机构
[1] CCAST, World Lab, Beijing 100080, Peoples R China
[2] Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
Q-S synchronization; Rossler system; Lorenz-Chen-Lu system; active control; Lyapunov stability theory;
D O I
10.1016/j.physleta.2004.11.042
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, we investigate the Q-S synchronization between two different chaotic systems: the Rossler system and the new unified Lorenz-Chen-Lu system based on the backstepping design method and Lyapunov stability theory. Moreover numerical simulations are used to verify the effectiveness of the proposed controller. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:406 / 412
页数:7
相关论文
共 27 条
[1]   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
[2]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[3]  
Chen G., 1998, CHAOS ORDER METHODOL
[4]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[5]   Synchronizing strict-feedback and general strict-feedback chaotic systems via a single controller [J].
Chen, SH ;
Wang, F ;
Wang, CP .
CHAOS SOLITONS & FRACTALS, 2004, 20 (02) :235-243
[6]   Synchronization of an uncertain unified chaotic system via adaptive control [J].
Chen, SH ;
Lü, JH .
CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647
[7]   On the chaos synchronization phenomena [J].
Femat, R ;
Solís-Perales, G .
PHYSICS LETTERS A, 1999, 262 (01) :50-60
[8]   Adaptive synchronization of high-order chaotic systems:: a feedback with low-order parametrization [J].
Femat, R ;
Alvarez-Ramírez, J ;
Fernández-Anaya, G .
PHYSICA D, 2000, 139 (3-4) :231-246
[9]  
KANELLAKOPOULOS I, 1991, IEEE T AUTOMAT CONTR, V36, P124
[10]  
Kristic M., 1995, Nonlinear and Adaptive Control Design