Chaos synchronization of Lu dynamical system

被引:70
作者
Agiza, HN [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
关键词
Lu chaotic system; synchronization; one-way coupling; adaptive control;
D O I
10.1016/j.na.2004.04.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Chaos synchronization of two identical Lu systems is studied theoretically and numerically. Three methods of chaos synchronization are applied in this study; Pecora and Carroll, one-way coupling and adaptive control. The sufficient conditions for achieving synchronization of two identical La systems are derived by using Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness of the proposed chaos synchronization schemes. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:11 / 20
页数:10
相关论文
共 21 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]   Sequential synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1041-1044
[3]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[4]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[5]   Synchronization of an uncertain unified chaotic system via adaptive control [J].
Chen, SH ;
Lü, JH .
CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647
[6]   CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV .
PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68
[7]   Adaptive synchronization for Rossler and Chua's circuit systems [J].
Hegazi, AS ;
Agiza, HN ;
El-Dessoky, MM .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (07) :1579-1597
[8]   Communication systems via chaotic signals from a reconstruction viewpoint [J].
Itoh, M ;
Wu, CW ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (02) :275-286
[9]  
Kapitaniak T., 1996, CONTROLLING CHAOS TH
[10]   GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION [J].
KOCAREV, L ;
PARLITZ, U .
PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5028-5031