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
收藏
页码：1123 / 1124
页数：2
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