Will a large complex system with time delays be stable?

被引：86

作者：

Jirsa, VK ^{[1
]}

Ding, MZ ^{[1
]}

机构：

[1] Florida Atlantic Univ, Ctr Complex Syst & Brain Sci, Boca Raton, FL 33431 USA

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.93.070602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In 1972 May showed that for a large linear system with random coupling the system size and the average coupling strength must together satisfy a simple inequality to ensure the stability of the equilibrium point. Here we extend the analysis to delay coupled systems. Our calculations establish that the same inequality obtained by May constrains the stability for systems randomly coupled through discrete and distributed delays.

引用

页码：070602 / 1

页数：4

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