Anti-synchronization in two non-identical hyperchaotic systems with known or unknown parameters

被引：50
作者：
Wang, Zuolei [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期
关键词：
Anti-synchronization; Uncertain parameters; Hyperchaotic Rossler system; Hyperchaotic Lorenz system; TIME-DELAYED SYSTEMS; ANTIPHASE SYNCHRONIZATION; CHAOTIC SYSTEMS; UNCERTAIN; PHASE;
D O I：
10.1016/j.cnsns.2008.06.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the anti-synchronization problem between hyperchaotic Rossler system and hyperchaotic Lorenz system. Two anti-synchronization schemes of them are proposed. Active control is applied when system parameters are known and adaptive control is employed when system parameters are unknown or uncertain. Controllers and update laws of parameters are designed based on Lyapunov stability theory. In both cases, sufficient conditions for the anti-synchronization are obtained analytically. Finally, numerical simulations are provided to show the effectiveness of the proposed schemes. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2366 / 2372
页数：7
相关论文
共 21 条
[1]   Synchronization between two different time-delayed systems and image encryption [J].
Banerjee, S. ;
Ghosh, D. ;
Ray, A. ;
Chowdhury, A. Roy .
EPL, 2008, 81 (02)
[2]   Stability analysis for the synchronization of chaotic systems with different order: application to secure communications [J].
Bowong, S .
PHYSICS LETTERS A, 2004, 326 (1-2) :102-113
[3]   Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification [J].
Feng, JW ;
Chen, SH ;
Wang, C .
CHAOS SOLITONS & FRACTALS, 2005, 26 (04) :1163-1169
[4]   Synchronization between variable time-delayed systems and cryptography [J].
Ghosh, D. ;
Banerjee, S. ;
Chowdhury, A. R. .
EPL, 2007, 80 (03)
[5]   On the various kinds of synchronization in delayed Dufng-Van der Pol system [J].
Ghosh, Dibakar ;
Chowdhury, A. Roy ;
Saha, Papri .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (04) :790-803
[6]   Phase and anti-phase synchronization of two chaotic systems by using active control [J].
Ho, MC ;
Hung, YC ;
Chou, CH .
PHYSICS LETTERS A, 2002, 296 (01) :43-48
[7]   Adaptive control for anti-synchronization of Chua's chaotic system [J].
Hu, J ;
Chen, SH ;
Chen, L .
PHYSICS LETTERS A, 2005, 339 (06) :455-460
[8]   Adaptive feedback control for a class of chaotic systems [J].
Hua, CC ;
Guan, XP ;
Shi, P .
CHAOS SOLITONS & FRACTALS, 2005, 23 (03) :757-765
[9]   Anti-synchronization of chaotic oscillators [J].
Kim, CM ;
Rim, S ;
Kye, WH ;
Ryu, JW ;
Park, YJ .
PHYSICS LETTERS A, 2003, 320 (01) :39-46
[10]   Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems [J].
Kocarev, L ;
Parlitz, U .
PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1816-1819
123