Function projective synchronization between two identical chaotic systems

被引:84
作者
Chen, Yong [1 ]
Li, Xin
机构
[1] Ningbo Univ, Ctr Nonlinear Sci, Dept Math, Ningbo 315211, Peoples R China
[2] Chinese Acad Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2007年 / 18卷 / 05期
关键词
function projective synchronization; active control method; identical classic Lorenz systems;
D O I
10.1142/S0129183107010607
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
First, a function projective synchronization of two identical systems is defined. Second, based on the active control method and symbolic computation Maple, the scheme of function projective synchronization is developed to synchronize two identical chaotic systems (two identical classic Lorenz systems) up to a scaling function matrix with different initial values. Numerical simulations are used to verify the effectiveness of the scheme.
引用
收藏
页码:883 / 888
页数:6
相关论文
共 21 条
[11]   Projective synchronization in three-dimensional chaotic systems [J].
Mainieri, R ;
Rehacek, J .
PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3042-3045
[12]   Adaptive synchronization of Rossler system with uncertain parameters [J].
Park, JH .
CHAOS SOLITONS & FRACTALS, 2005, 25 (02) :333-338
[13]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[14]   Adaptive synchronization for a class of high-dimensional autonomous uncertain chaotic systems [J].
Wang, Xingyuan ;
Wang, Mingjun .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (03) :399-406
[15]   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
[16]   Controlled projective synchronization in nonpartially-linear chaotic systems [J].
Xu, DL ;
Li, ZG .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (06) :1395-1402
[17]  
YAN, 2005, CHOAS, V15, DOI UNSP 023902
[18]   Generalized projective synchronization of a unified chaotic system [J].
Yan, JP ;
Li, CP .
CHAOS SOLITONS & FRACTALS, 2005, 26 (04) :1119-1124
[19]   A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems [J].
Yan, ZY .
CHAOS, 2005, 15 (01)
[20]   Chaos Q-S synchronization between Rossler system and the new unified chaotic system [J].
Yan, ZY .
PHYSICS LETTERS A, 2005, 334 (5-6) :406-412