Generalized projective synchronization of two chaotic systems by using active control

被引:62
作者
Li, Guo-Hui [1 ]
机构
[1] Shanghai Univ, Dept Commun Engn, Shanghai 200072, Peoples R China
关键词
D O I
10.1016/j.chaos.2005.08.130
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, an active control method is proposed to projective-synchronize two chaotic systems by constructing the response system no matter whether they are identical or not. The proposed technique is applied to achieve generalized projective synchronization for the Lorenz and Chen's systems, where all state variables are in a proportional way. This property allows us to arbitrarily direct the scaling factor onto a desired value. Feasibility of the proposed control scheme is illustrated through the numerical examples. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:77 / 82
页数:6
相关论文
共 7 条
[1]   Synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 1997, 8 (01) :51-58
[2]   Projective synchronization in three-dimensional chaotic systems [J].
Mainieri, R ;
Rehacek, J .
PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3042-3045
[3]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[4]   Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems [J].
Wen, GL ;
Xu, DL .
CHAOS SOLITONS & FRACTALS, 2005, 26 (01) :71-77
[5]   A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions [J].
Xu, DL ;
Chee, CY ;
Li, CP .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :175-180
[6]   Controlled projective synchronization in nonpartially-linear chaotic systems [J].
Xu, DL ;
Li, ZG .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (06) :1395-1402
[7]   Generalized projective synchronization of a unified chaotic system [J].
Yan, JP ;
Li, CP .
CHAOS SOLITONS & FRACTALS, 2005, 26 (04) :1119-1124