DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations
Abstract
DDEBIFTOOL is a collection of Matlab routines for numerical bifurcation analysis of systems of delay differential equations with discrete constant and state-dependent delays. The package supports continuation and stability analysis of steady state solutions and periodic solutions. Further one can compute and continue several local and global bifurcations: fold and Hopf bifurcations of steady states; folds, period doublings and torus bifurcations of periodic orbits; and connecting orbits between equilibria. To analyse the stability of steady state solutions, approximations are computed to the rightmost, stability-determining roots of the characteristic equation which can subsequently be used as starting values in a Newton procedure. For periodic solutions, approximations to the Floquet multipliers are computed. The manual describes the structure of the package, its routines, and its data and method parameter structures.
Cite
@article{arxiv.1406.7144,
title = {DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations},
author = {Jan Sieber and Koen Engelborghs and Tatyana Luzyanina and Giovanni Samaey and Dirk Roose},
journal= {arXiv preprint arXiv:1406.7144},
year = {2016}
}
Comments
version 3.1.1, download website: https://sourceforge.net/projects/ddebiftool/