Title: Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
Authors: Engelborghs, Koen ×
Luzyanina, T
Roose, Dirk #
Issue Date: Mar-2002
Publisher: Association for Computing Machinery
Series Title: ACM transactions on mathematical software vol:28 issue:1 pages:1-21
Abstract: We describe DDE-BIFTOOL, a Matlab package for numerical bifurcation analysis of systems of delay differential equations with several fixed, discrete delays. The package implements continuation of steady state solutions and periodic solutions and their stability analysis. It also computes and continues steady state fold and Hopf bifurcations and, from the latter, it can switch to the emanating branch of periodic solutions. We describe the numerical methods upon which the package is based and illustrate its usage and capabilities through analysing three examples: two models of coupled neurons with delayed feedback and a model of two oscillators coupled with delay.
ISSN: 0098-3500
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science