Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme

被引：89

作者：

Huang, Xia ^{[1
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

NONLINEARITY | 2006年 / 19卷 / 12期

关键词：

D O I：

10.1088/0951-7715/19/12/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel coupling scheme with different coupling delays is presented to achieve generalized synchronization (complete synchronization (CS), anticipating synchronization (AS) and lag synchronization (LS)). The Lyapunov-Krasovskii functional method is employed to investigate the global asymptotic stability of the error dynamical system. The theoretical analysis indicates that delayed chaotic neural networks coupled in this way can switch arbitrarily among CS, AS and LS under the newly proposed coupling configuration. Switching among different kinds of synchronization can be done by changing the transformation time of the coupling signal. Numerical simulations agree with the theoretical analysis.

引用

页码：2797 / 2811

页数：15

共 30 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] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[3] Anticipated synchronization:: A metaphorical linear view [J].

Calvo, O ;

Chialvo, DR ;

Eguíluz, VM ;

Mirasso, C ;

Toral, R .

CHAOS, 2004, 14 (01) :7-13

[4] Adaptive synchronization of neural networks with or without time-varying delay [J].

Cao, JD ;

Lu, JQ .

CHAOS, 2006, 16 (01)

[5] Synchronization criteria of Lur'e systems with time-delay feedback control [J].

Cao, JD ;

Li, HX ;

Ho, DWC .

CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1285-1298

[6] Lag and anticipating synchronization without time-delay coupling [J].

Corron, NJ ;

Blakely, JN ;

Pethel, SD .

CHAOS, 2005, 15 (02)

[7] Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication [J].

Fischer, I ;

Liu, Y ;

Davis, P .

PHYSICAL REVIEW A, 2000, 62 (01) :4

[8] STRANGE ATTRACTORS IN DELAYED CELLULAR NEURAL NETWORKS [J].

GILLI, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (11) :849-853

[9]

HALE JK, 1991, INTRO THEORY FUNCTIO

[10] Adaptive synchronization for Rossler and Chua's circuit systems [J].

Hegazi, AS ;

Agiza, HN ;

El-Dessoky, MM .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (07) :1579-1597

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