Synchronization of complex chaotic systems in series expansion form

被引:13
作者
Ge, Zheng-Ming [1 ]
Yang, Cheng-Hsiung [1 ]
机构
[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 300, Taiwan
关键词
D O I
10.1016/j.chaos.2006.04.072
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies the synchronization of complex chaotic systems in series expansion form by Lyapunov asymptotical stability theorem. A sufficient condition is given for the asymptotical stability of an error dynamics, and is applied to guiding the design of the secure communication. Finally, numerical results are studied for the Quantum-CNN oscillators synchronizing with unidirectional/bidirectional linear coupling to show the effectiveness of the proposed synchronization strategy. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1649 / 1658
页数:10
相关论文
共 37 条
[1]   Synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 1997, 8 (01) :51-58
[2]   Sequential synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1041-1044
[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]  
Chen G., 1998, CHAOS ORDER METHODOL
[6]   A stable-manifold-based method for chaos control and synchronization [J].
Chen, SH ;
Zhang, QJ ;
Xie, J ;
Wang, CP .
CHAOS SOLITONS & FRACTALS, 2004, 20 (05) :947-954
[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]   Absolute stability theory and master-slave synchronization [J].
Curran, PF ;
Suykens, JAK ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (12) :2891-2896
[9]   Quantum-CNN to generate nanoscale chaotic oscillators [J].
Fortuna, L ;
Porto, D .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (03) :1085-1089
[10]   Chaos anticontrol and synchronization of three time scales brushless DC motor system [J].
Ge, ZM ;
Cheng, JW ;
Chen, YS .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1165-1182