Numerical Hopf bifurcation for a class of delay differential equations

被引：53

作者：

Wulf, V ^{[1
]}

Ford, NJ ^{[1
]}

机构：

[1] Univ Coll Chester, Dept Math, Chester CH1 4BJ, Cheshire, England

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 115卷 / 1-2期

关键词：

delay differential equations; numerical methods; Hopf bifurcation;

D O I：

10.1016/S0377-0427(99)00181-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider discretization of parameter-dependent delay differential equations of the form x'(t) = f(x(t),x(t - tau),lambda), lambda epsilon R. We show that, if the delay differential equation undergoes a Hopf bifurcation, then the discrete scheme undergoes a Hopf bifurcation of the same type. The results of this paper extend the results of our previous analysis relating to the discretization of the delay logistic equation to a wider class of problems. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：601 / 616

页数：16

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