Partial synchronization in linearly and symmetrically coupled ordinary differential systems

被引：58
|
作者：
Wu, Wei [1 ]
Chen, Tianping [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Key Lab Nonlinear Math Sci, Shanghai 200433, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2009年 / 238卷 / 04期
基金：
美国国家科学基金会;
关键词：
Partial synchronization; Synchronization manifolds; Adaptive coupling strengths; CLUSTER SYNCHRONIZATION; NETWORKS; OSCILLATIONS; STABILITY; LATTICES; CHAOS;
D O I：
10.1016/j.physd.2008.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss partial synchronization of linearly and symmetrically coupled ordinary differential equations (LSCODEs). The synchronization phenomena are investigated via invariant synchronization manifolds. On the basis of geometrical analysis of the synchronization manifold, several criteria for the global attractivity of the invariant synchronization manifold are obtained. Combining these criteria with some numerical examples, we investigate how topological structure affects partial synchronization, and give a valuable discussion about the possibility of partial synchronization with increasing coupling strength. (C) 2008 Elsevier B.V. All rights reserved.
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页码：355 / 364
页数：10
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