Networks of diffusively time-delay coupled systems: Conditions for synchronization and its relation to the network topology

被引：20

作者：

Steur, Erik ^{[1
]}

Michiels, Wim ^{[2
]}

Huijberts, Henri ^{[3
]}

Nijmeijer, Henk ^{[4
]}

机构：

[1] Katholieke Univ Leuven, Fac Psychol & Educ Sci, Res Grp Expt Psychol, Lab Perceptual Dynam, B-3000 Louvain, Belgium

[2] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium

[3] Queen Mary Univ London, Sch Engn & Mat Sci, London E1 4NS, England

[4] Eindhoven Univ Technol, Dept Mech Engn, Dynam & Control Grp, NL-5600 MB Eindhoven, Netherlands

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2014年 / 277卷

关键词：

Time-delayed diffusive coupling; Bounded solutions; Synchronization; Network topology; GAP-JUNCTIONS; SPIKING NEURONS; STABILITY; DYNAMICS; BEHAVIOR; ARRAY; PAIRS;

D O I：

10.1016/j.physd.2014.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider networks of time-delayed diffusively coupled systems and relate conditions for synchronization of the systems in the network to the topology of the network. First we present sufficient conditions for the solutions of the time-delayed coupled systems to be bounded. Next we give conditions for local synchronization and we show that the values of the coupling strength and time-delay for which there is local synchronization in any network can be determined from these conditions. In addition we present results on global synchronization in relation to the network topology for networks of a class of nonlinear systems. We illustrate our results with examples of synchronization in networks with FitzHugh-Nagumo model neurons and Hindmarsh-Rose neurons. (C) 2014 Elsevier By. All rights reserved.

引用

页码：22 / 39

页数：18

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