Generalized synchronization of two different chaotic systems

被引：15
作者：
Li Guo-Hui [1 ]
机构：
[1] Shanghai Univ, Dept Commun Engn, Shanghai 200072, Peoples R China
来源：
CHINESE PHYSICS | 2007年 / 16卷 / 09期
关键词：
chaos; generalized synchronization; active control;
D O I：
10.1088/1009-1963/16/9/018
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, generalized synchronization of two different chaotic dynamical systems is investigated. An active control is adopted to construct a response system which synchronizes with a given drive system for a function relation. Based on rigorous analysis, the error system is asymptotically stable at the equilibrium. Numerical simulations illustrate the effectiveness of the proposed theory.
引用
收藏
页码：2608 / 2611
页数：4
相关论文
共 13 条
[1]   Synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 1997, 8 (01) :51-58
[2]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[3]  
Dou CX, 2005, CHINESE PHYS, V14, P902, DOI 10.1088/1009-1963/14/5/008
[4]   Global synchronization criterion and adaptive synchronization for new chaotic system [J].
Elabbasy, EM ;
Agiza, HN ;
El-Dessoky, MM .
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1299-1309
[5]   Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems [J].
Kocarev, L ;
Parlitz, U .
PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1816-1819
[6]   Adaptive synchronization of chaotic systems and its application to secure communications [J].
Liao, TL ;
Tsai, SH .
CHAOS SOLITONS & FRACTALS, 2000, 11 (09) :1387-1396
[7]   Bridge the gap between the Lorenz system and the Chen system [J].
Lü, JH ;
Chen, GR ;
Cheng, DZ ;
Celikovsky, S .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926
[8]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661
[9]   GENERALIZED SYNCHRONIZATION OF CHAOS IN DIRECTIONALLY COUPLED CHAOTIC SYSTEMS [J].
RULKOV, NF ;
SUSHCHIK, MM ;
TSIMRING, LS ;
ABARBANEL, HDI .
PHYSICAL REVIEW E, 1995, 51 (02) :980-994
[10]  
THOMAS C, 1990, PHYS REV LETT, V64, P821
12