Generalized synchronization of continuous chaotic system

被引：119

作者：

Wang, YW ^{[1
]}

Guan, ZH ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Wuhan 430074, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 27卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

D O I：

10.1016/j.chaos.2004.12.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient condition for the generalized synchronization of continuous chaotic system with a kind of nonlinear transformation is derived. The method is illustrated by applications to Lorenz and Duffing chaotic systems and the simulation results demonstrate the effectiveness of the proposed theorem. (c) 2005 Published by Elsevier Ltd.

引用

页码：97 / 101

页数：5

共 19 条

[1] Generalized synchronization of chaos: The auxiliary system approach [J].

Abarbanel, HDI ;

Rulkov, NF ;

Sushchik, MM .

PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535

[2] Generalized synchronization of chaos in noninvertible maps [J].

Afraimovich, V ;

Cordonet, A ;

Rulkov, NF .

PHYSICAL REVIEW E, 2002, 66 (01) :1-016208

[3] Generalized synchronization on linear manifold in coupled non-linear systems [J].

Cincotti, S ;

Teglio, A .

2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL III, PROCEEDINGS, 2002, :61-64

[4] Speed gradient control of chaotic continuous-time systems [J].

Fradkov, AL ;

Pogromsky, AY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (11) :907-913

[5] STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].

FUJISAKA, H ;

YAMADA, T .

PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47

[6] Conditions for impulsive synchronization of chaotic and hyperchaotic system [J].

Itoh, M ;

Yang, T ;

Chua, LO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02) :551-560

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

Kocarev, L ;

Parlitz, U .

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

[8] Nonlinear feedback-controlled generalized synchronization of spatial chaos [J].

Liu, ST ;

Chen, GR .

CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :35-46

[9] An observer looks at synchronization [J].

Nijmeijer, H ;

Mareels, IMY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :882-890

[10] Subharmonic entrainment of unstable period orbits and generalized synchronization [J].

Parlitz, U ;

Junge, L ;

Kocarev, L .

PHYSICAL REVIEW LETTERS, 1997, 79 (17) :3158-3161

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