Anti-synchronization of two different chaotic systems

被引：28

作者：

Li, Wenlin ^{[1
]}

Chen, Xiuqin ^{[1
]}

Zhiping, Shen ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat, Xinxiang 453007, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 14期

关键词：

chaotic system; anti-synchronization;

D O I：

10.1016/j.physa.2008.02.011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the anti-synchronization of two different chaotic systems is investigated. On the basis of a nonlinear control scheme and Lyapunov theory, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for the Genesio-Rossler system to demonstrate the effectiveness of the proposed control strategy. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：3747 / 3750

页数：4

共 13 条

[1] HARMONIC-BALANCE METHODS FOR THE ANALYSIS OF CHAOTIC DYNAMICS IN NONLINEAR-SYSTEMS [J].

GENESIO, R ;

TESI, A .

AUTOMATICA, 1992, 28 (03) :531-548

[2] 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

[3] Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems [J].

Kocarev, L ;

Parlitz, U .

PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1816-1819

[4] Anti-synchronization in different chaotic systems [J].

Li, Guo-Hui ;

Zhou, Shi-Ping .

CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :516-520

[5] Anti-phase synchronization in coupled map lattices [J].

Liu, J ;

Ye, C ;

Zhang, S ;

Song, W .

PHYSICS LETTERS A, 2000, 274 (1-2) :27-29

[6]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[7]

[8] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[9] Phase synchronization of chaotic oscillators [J].

Rosenblum, MG ;

Pikovsky, AS ;

Kurths, J .

PHYSICAL REVIEW LETTERS, 1996, 76 (11) :1804-1807

[10] EQUATION FOR CONTINUOUS CHAOS [J].

ROSSLER, OE .

PHYSICS LETTERS A, 1976, 57 (05) :397-398

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