Numerical bifurcation analysis of delay differential equations

被引：53

作者：

Engelborghs, K ^{[1
]}

Luzyanina, T ^{[1
]}

Roose, D ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 125卷 / 1-2期

关键词：

delay differential equations; bifurcation analysis; numerical methods;

D O I：

10.1016/S0377-0427(00)00472-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical methods for the bifurcation analysis of delay differential equations (DDEs) have only recently received much attention, partially because the theory of DDEs (smoothness, boundedness, stability of solutions) is more complicated and less established than the corresponding theory of ordinary differential equations. As a consequence, no established software packages exist at present for the bifurcation analysis of DDEs. We outline existing numerical methods for the computation and stability analysis of steady-state solutions and periodic solutions of systems of DDEs with several constant delays. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：265 / 275

页数：11

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