The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems

被引：48

作者：

Chen, Yong ^{[1
,2
,3
,4
]}

An, Hongli ^{[1
,2
,4
]}

Li, Zhibin ^{[3
]}

机构：

[1] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[3] E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China

[4] Chinese Acad Sci, MM Key Lab, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 197卷 / 01期

关键词：

hyperchaotic synchronization system; hyperchaotic systems; function cascade approach;

D O I：

10.1016/j.amc.2007.07.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the Lu system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme. (C) 2007 Published by Elsevier Inc.

引用

页码：96 / 110

页数：15

共 38 条

[1] Synchronization of Rossler and Chen chaotic dynamical systems using active control
Agiza, HN
Yassen, MT
[J]. PHYSICS LETTERS A, 2001, 278 (04) : 191 - 197
[2] CASCADING SYNCHRONIZED CHAOTIC SYSTEMS
CARROLL, TL
PECORA, LM
[J]. PHYSICA D, 1993, 67 (1-3): : 126 - 140
[3] Chen G., 1998, CHAOS ORDER
[4] Controlling and synchronizing chaotic Genesio system via nonlinear feedback control
Chen, MY
Han, ZZ
[J]. CHAOS SOLITONS & FRACTALS, 2003, 17 (04) : 709 - 716
[5] Adaptive synchronization of uncertain Rossler hyperchaotic system based on parameter identification
Chen, SH
Hu, J
Wang, CP
Lü, JH
[J]. PHYSICS LETTERS A, 2004, 321 (01) : 50 - 55
[6] Parameters identification and synchronization of chaotic systems based upon adaptive control
Chen, Shihua
Lü, Jinhu
[J]. Physics Letters, Section A: General, Atomic and Solid State Physics, 2002, 299 (04): : 353 - 358
[7] Synchronization of an uncertain unified chaotic system via adaptive control
Chen, SH
Lü, JH
[J]. CHAOS SOLITONS & FRACTALS, 2002, 14 (04) : 643 - 647
[8] CHEN Y, IN PRESS INT J MOD C
[9] Chen YW, 2005, PROC E ASIA SOC TRAN, V5, P450
[10] Adaptive synchronization of a hyperchaotic system with uncertain parameter
Elabbasy, E. M.
Agiza, H. N.
El-Dessoky, M. M.
[J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (05) : 1133 - 1142

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