A new method of synchronization between two different chaotic systems

被引：12
作者：
Li Shuang [1 ]
Xu Wei
Li Rui-Hong
Li Yu-Peng
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
[2] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China
[3] NW Univ Xian, Dept Comp Sci, Xian 710069, Peoples R China
来源：
ACTA PHYSICA SINICA | 2006年 / 55卷 / 11期
关键词：
chaos synchronization; Lorenz system; Rossler system; Lyapunov function;
D O I：
10.7498/aps.55.5681
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Based on Lyapunov stability theory, a new method combining feedback control and adaptive control is proposed for the synchronization between two different chaotic systems. This method can be applied to solve synchronization problems of several classes of chaotic systems, e. g, Lorenz system, Chen system, La system. Liu system, and Rossler system. It offers a general way of choice for the controller, and furthermore, for some concrete systems the controller can be simplified. Numerical simulation results are presented to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：5681 / 5687
页数：7
相关论文
共 18 条
[1]   Experimental study for impulsive synchronization of a discrete chaotic system [J].
Chen, JF ;
Zhang, RY ;
Peng, JH .
ACTA PHYSICA SINICA, 2003, 52 (07) :1589-1594
[2]   Nonlinear feedback synchronization control of Liu chaotic system [J].
Chen, ZS ;
Sun, KH ;
Zhang, TS .
ACTA PHYSICA SINICA, 2005, 54 (06) :2580-2583
[3]   Adaptive fuzzy synchronization of chaotic systems with uncertainties [J].
Dong, Y ;
Yoneyama, J .
ACTA PHYSICA SINICA, 2003, 52 (02) :292-297
[4]  
Guan X, 2002, CHAOS CONTROL ITS AP
[5]   Reduced-order synchronization of chaotic systems with parameters unknown [J].
Ho, MC ;
Hung, YC ;
Liu, ZY ;
Jiang, IM .
PHYSICS LETTERS A, 2006, 348 (3-6) :251-259
[6]   Simple adaptive-feedback controller for identical chaos synchronization [J].
Huang, DB .
PHYSICAL REVIEW E, 2005, 71 (03)
[7]   GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION [J].
KOCAREV, L ;
PARLITZ, U .
PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5028-5031
[8]  
LEI YM, 2005, CHAOS SOLITON FRACT, V31, P371
[9]   Adaptive control for a class of chaotic systems with uncertain parameters [J].
Li, Z ;
Han, CZ .
ACTA PHYSICA SINICA, 2001, 50 (05) :847-850
[10]   A new chaotic attractor [J].
Liu, CX ;
Liu, T ;
Liu, L ;
Liu, K .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1031-1038
12