Synchronization in oscillator networks with coupling balance

被引：1
|
作者：
Zhang, Jianbao [2 ]
Liu, Zengrong [1 ]
Xu, Jianhua [2 ,3 ]
机构：
[1] Shanghai Univ, Inst Syst Biol, Shanghai 200444, Peoples R China
[2] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China
[3] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 02期
基金：
中国国家自然科学基金;
关键词：
GENERALIZED SYNCHRONIZATION;
D O I：
10.1016/j.chaos.2007.01.084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under the hypothesis of coupling balance, both locally and globally asymptotically synchronization of oscillator networks with nonlinear coupling in general form are studied for the first time. In order to study the globally asymptotically synchronization, we first show that the oscillator network is eventually dissipative if the uncoupled oscillators are eventual dissipative. Then in its absorbing domain, two methods developed recently are combined to study the asymptotically synchronization and two theorems are derived. Numerical simulations confirm the validity of the results. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：556 / 566
页数：11
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