Synchronization threshold of a coupled n-dimensional time-delay system

被引：1

作者：

Poria, Swarup ^{[2
]}

Poria, Anindita Tarai ^{[3
]}

Chatterjee, Prasanta ^{[1
]}

机构：

[1] Visva Bharati Univ, Dept Math, Santini Ketan, W Bengal, India

[2] Midnapore Coll, Dept Math, Midnapore W, W Bengal, India

[3] Aligunj RRB High Sch, Dept Math, Midnapore W, W Bengal, India

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 03期

关键词：

BIFURCATION; STABILITY; MODEL;

D O I：

10.1016/j.chaos.2008.04.045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The synchronization threshold in the general form of one way time-delay system is discussed. The synchronization threshold of coupled time-delay chaotic systems can be estimated by two different analytical approaches. One of them is based on the Krasovskii-Lyapunov theory that represents an extension of the second Lyapunov method for delay differential equations. Another approach uses a perturbation theory of large delay time. Based on the Krasovskii-Lyapunov theory, the deduction process and the application range of the synchronization threshold are given. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1123 / 1124

页数：2

共 10 条

[1] Multiple delay Rossler system - Bifurcation and chaos control [J].

Ghosh, Dibakar ;

Chowdhury, A. Roy ;

Saha, Papri .

CHAOS SOLITONS & FRACTALS, 2008, 35 (03) :472-485

[2] Global chaos synchronization with channel time-delay [J].

Jiang, GP ;

Zheng, WX ;

Chen, GR .

CHAOS SOLITONS & FRACTALS, 2004, 20 (02) :267-275

[3]

Kuang Y., 1993, Delay differential equations with application in population dynamics

[4] Stability and bifurcation in a harmonic oscillator with delays [J].

Liu, ZH ;

Yuan, R .

CHAOS SOLITONS & FRACTALS, 2005, 23 (02) :551-562

[5] On the synchronization of delay discrete models [J].

Peng, MS ;

Bai, EW ;

Lonngren, KE .

CHAOS SOLITONS & FRACTALS, 2004, 22 (03) :573-576

[6] Synchronization of coupled time-delay systems: Analytical estimations [J].

Pyragas, K .

PHYSICAL REVIEW E, 1998, 58 (03) :3067-3071

[7] Stability and Hopf bifurcation for an epidemic disease model with delay [J].

Sun, CJ ;

Lin, YP ;

Han, MA .

CHAOS SOLITONS & FRACTALS, 2006, 30 (01) :204-216

[8] Stability and bifurcation analysis in a kind of business cycle model with delay [J].

Zhang, CR ;

Wei, JJ .

CHAOS SOLITONS & FRACTALS, 2004, 22 (04) :883-896

[9] Stability and bifurcation in a two harmful phytoplankton-zooplankton system [J].

Zhao, Jiantao ;

Wei, Junjie .

CHAOS SOLITONS & FRACTALS, 2009, 39 (03) :1395-1409

[10] Synchronization threshold of a coupled time-delay system [J].

Zhou, Shangbo ;

Li, Hua ;

Wu, Zhongfu .

PHYSICAL REVIEW E, 2007, 75 (03)

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