Numerical Hopf bifurcation for a class of delay differential equations

被引：52
|
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
收藏
页码：601 / 616
页数：16
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