Hopf bifurcation in numerical approximation for delay differential equations

被引：0

作者：

Zhang C. ^{[1
]}

Liu M. ^{[2
]}

Zheng B. ^{[2
]}

机构：

[1] Key Lab. of Forestry Plant Ecology, Ministry of Education, Northeast Forestry University

[2] Department of Mathematics, Harbin Institute of Technology

来源：

Journal of Applied Mathematics and Computing | 2004年 / 14卷 / 1-2期

关键词：

Delay differential equation; Hopf bifurcation; Linear multistep method; Runge-Kutta method;

D O I：

10.1007/BF02936117

中图分类号：

学科分类号：

摘要：

In this paper we investigate the qualitative behaviour of numerical approximation to a class delay differential equation. We consider the numerical solution of the delay differential equations undergoing a Hopf bifurcation. We prove the numerical approximation of delay differential equation had a Hopf bifurcation point if the true solution does.

引用

页码：319 / 328

页数：9

共 5 条

[1] Ford Neville J.(2000)Numerical Hopf bifurcation for a class of delay differential equations JCAM 115 601-616
[2] Wulf Volker(1999)The use of boundary locus plots in the identification of bifurcation point in numerical approximation of delay differential equations JCAM 111 153-162
[3] Ford Neville J.(1999)Naimark-Sacker bifurcations in the Euler method for a delay differential equations BIT 39 110-115
[4] Wulf Volker(undefined)undefined undefined undefined undefined-undefined
[5] Koto T.(undefined)undefined undefined undefined undefined-undefined

← 1 →