Periodic solutions of planar systems with two delays

被引：73

作者：

Ruan, SG ^{[1
]}

Wei, JJ

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1999年 / 129卷

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1017/S0308210500031061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a planar system with two delays: (x) over dot(1)(t) = -a(0)x(1)(t) + a(1)F(1)(x(1)(t - tau(1)), x(2)(t - tau(2))), (x) over dot(2)(t) = -b(0)x(2)(t) + b(1)F(2)(x(1)(t - tau(1)), x(2)(t - tau(2))). Firstly, linearized stability and local Hopf bifurcations are studied. Then, existence conditions for non-constant periodic solutions are derived using degree theory methods. Finally, a simple neural network model. with two delays is analysed as an example.

引用

页码：1017 / 1032

页数：16

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