Desynchronization of large scale delayed neural networks

被引：20

作者：

Chen, YM ^{[1
]}

Huang, YS

Wu, JH

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

[2] Pace Univ, Dept Math, Pleasantville, NY 10570 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 08期

关键词：

synchronization; slow oscillation; delay; neural network;

D O I：

10.1090/S0002-9939-00-05635-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a ring of identical neurons with delayed nearest neighborhood inhibitory interaction. Under general conditions, such a network has a slowly oscillatory synchronous periodic solution which is completely characterized by a scalar delay differential equation with negative feedback. Despite the fact that the slowly oscillatory periodic solution of the scalar equation is stable, we show that the associated synchronous solution is unstable if the size of the network is large.

引用

页码：2365 / 2371

页数：7

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