Projective Synchronization Between Two Nonidentical Variable Time Delayed Systems

被引:6
作者
Feng Cun-Fang [1 ]
Wang Ying-Hai [2 ]
机构
[1] Wuhan Text Univ, Sch Elect & Elect Engn, Wuhan 430073, Peoples R China
[2] Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China
关键词
projective synchronization; different time-delayed chaotic systems; variable time delays; COMPLEX NETWORKS; CHAOTIC SYSTEMS;
D O I
10.1088/0253-6102/57/3/09
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we propose a method for the projective synchronization between two different chaotic systems with variable time delays. Using active control approach, the suitable controller is constructed to make the states of two different diverse time delayed systems asymptotically synchronize up to the desired scaling factor. Based on the Lyapunov stability theory, the sufficient condition for the projective synchronization is calculated theoretically. Numerical simulations of the projective synchronization between Mackey Glass system and Ikeda system with variable time delays are shown to validate the effectiveness of the proposed algorithm.
引用
收藏
页码:395 / 399
页数:5
相关论文
共 29 条
[1]  
Arecchi FT, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.046237
[2]   Synchronization between two different time-delayed systems and image encryption [J].
Banerjee, S. ;
Ghosh, D. ;
Ray, A. ;
Chowdhury, A. Roy .
EPL, 2008, 81 (02)
[3]   Antiphase synchronism in chaotic systems [J].
Cao, LY ;
Lai, YC .
PHYSICAL REVIEW E, 1998, 58 (01) :382-386
[4]   Secure digital communication using controlled projective synchronisation of chaos [J].
Chee, CY ;
Xu, DL .
CHAOS SOLITONS & FRACTALS, 2005, 23 (03) :1063-1070
[5]   Complex network synchronizability: Analysis and control [J].
Duan, Zhisheng ;
Chen, Guanrong ;
Huang, Lin .
PHYSICAL REVIEW E, 2007, 76 (05)
[6]   Different Types of Projective Synchronization in a Class of Time-Delayed Chaotic Systems Using Active Control Approach [J].
Feng Cun-Fang ;
Wang Ying-Hai .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (05) :822-828
[7]   Projective synchronization between two different time-delayed chaotic systems using active control approach [J].
Feng, Cun-Fang .
NONLINEAR DYNAMICS, 2010, 62 (1-2) :453-459
[8]   Multistability and delayed recurrent loops [J].
Foss, J ;
Longtin, A ;
Mensour, B ;
Milton, J .
PHYSICAL REVIEW LETTERS, 1996, 76 (04) :708-711
[9]   Adaptive scheme for synchronization-based multiparameter estimation from a single chaotic time series and its applications [J].
Ghosh, Dibakar ;
Banerjee, Santo .
PHYSICAL REVIEW E, 2008, 78 (05)
[10]   Lag synchronization of complex networks via pinning control [J].
Guo, Wanli .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (05) :2579-2585