%0 Journal Article
%T DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations
%A Jan Sieber
%A Koen Engelborghs
%A Tatyana Luzyanina
%A Giovanni Samaey
%A Dirk Roose
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1406.7144v3