{
  "id": "1406.7144",
  "version": "v3",
  "published": "2014-06-27T10:37:11.000Z",
  "updated": "2015-01-11T21:50:16.000Z",
  "title": "DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations",
  "authors": [
    "Jan Sieber",
    "Koen Engelborghs",
    "Tatyana Luzyanina",
    "Giovanni Samaey",
    "Dirk Roose"
  ],
  "comment": "version 3.1, download website: https://sourceforge.net/projects/ddebiftool/",
  "categories": [
    "math.DS"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-30T08:03:26.000Z",
      "comment": "version 3.0, download website: http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-01-11T21:50:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "delay differential equations",
      "bifurcation analysis",
      "dde-biftool manual",
      "steady state solutions",
      "periodic solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.7144S"
    }
  }
}