DDE-BIFTOOL v. 3.1.1
Installation
- Unzipping ddebiftool.zip creates a "dde_biftool" directory (named "dde_biftool") containing the subfolders:
- To test the tutorial demo "neuron" (the instructions below assume familiarity with Matlab or octave):
- Start Matlab (version 7.0 or higher) or octave (tested with version 3.8.1)
- Inside Matlab or octave change working directory to demos/neuron using the "cd" command
- Execute script "rundemo" to perform all steps of the tutorial demo
- Compare the outputs on screen and in figure windows with the published output in demos/neuron/html/demo1.html.
Reference and documentation
- Current download URL on Sourceforge (including access to versions from 3.1 onward)
- https://sourceforge.net/projects/ddebiftool/
- URL of original DDE-BIFTOOL website (including access to versions
up to
3.0)
-
http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml
- Contact (bug reports, questions etc)
- https://sourceforge.net/projects/ddebiftool/support
- Manual for version 2.0x
- K. Engelborghs, T. Luzyanina, G. Samaey. DDE-BIFTOOL v. 2.00:
a Matlab package for bifurcation analysis of delay differential
equations. Technical Report TW-330
- Manual for current version
- manual.pdf (v. 3.1.1), stored on arxiv: arxiv.org/abs/1406.7144
- Changes for v. 2.03
- Addendum_Manual_DDE-BIFTOOL_2_03.pdf (by K. Verheyden)
- Changes for v. 3.0
- Changes-v3.pdf (by J. Sieber)
- Description of extensions ddebiftool_extra_psol and ddebiftool_extra_rotsym
- Extra_psol_extension.pdf (by J. Sieber)
- Description of the extention ddebiftool_extra_nmfm
- nmfm_extension_desctiption.pdf
(by M. Bosschaert, B. Wage, Yu.A. Kuznetsov)
- Overview of documented demos
- demos/index.html
Contributors
Original code and documentation (v. 2.03)
K. Engelborghs, T. Luzyanina, G. Samaey. D. Roose, K. Verheyden
K.U.Leuven
Department of Computer Science
Celestijnenlaan 200A
B-3001 Leuven
Belgium
Revision for v. 3.0, 3.1.x
Bifurcations of periodic orbits
J. Sieber
College for Engineering, Mathematics and Physical Sciences, University of Exeter (UK),
emps.exeter.ac.uk/mathematics/staff/js543
Normal form coefficients for bifurcations of equilibria
S. Janssens, B. Wage, M. Bosschaert, Yu.A. Kuznetsov
Utrecht University
Department of Mathematics
Budapestlaan 6
3584 CD Utrecht
The Netherlands
www.staff.science.uu.nl/~kouzn101/ ((Y.A. Kuznetsov)
Automatic generation of right-hand sides and derivatives in Mathematica
D. Pieroux
Universite Libre de Bruxelles (ULB, Belgium)
Demo for phase oscillator
A. Yeldesbay
Potsdam University (Germany)
Citation
Scientific publications, for which the package DDE-BIFTOOL has been used, shall mention usage of the package DDE-BIFTOOL, and shall cite the following publications to ensure proper attribution and reproducibility:
- K. Engelborghs, T. Luzyanina, and D. Roose, Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL, ACM Trans. Math. Softw. 28 (1), pp. 1-21, 2002.
- K. Engelborghs, T. Luzyanina, G. Samaey. DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations. Technical Report TW-330, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2001.
- [Manual of current version, permanent link]
J. Sieber, K. Engelborghs, T. Luzyanina, G. Samaey, D. Roose: DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations. arxiv.org/abs/1406.7144.
- [Theoretical background for computation of normal form
coefficients, permanent link]
Sebastiaan Janssens: On a Normalization Technique for
Codimension Two Bifurcations of Equilibria of Delay Differential
Equations. Master Thesis, Utrecht University (NL), supervised by
Yu.A. Kuznetsov and O. Diekmann, dspace.library.uu.nl/handle/1874/312252,
2010.
- [Normal form implementation for Hopf-related cases, permanent
link]
Bram Wage: Normal form computations for Delay Differential Equations in DDE-BIFTOOL. Master Thesis, Utrecht University (NL), supervised by Y.A. Kuznetsov,
dspace.library.uu.nl/handle/1874/296912, 2014.
M. M. Bosschaert: Switching from codimension 2 bifurcations of equilibria in delay differential equations. Master Thesis, Utrecht University (NL), supervised by Y.A. Kuznetsov, dspace.library.uu.nl/handle/1874/334792, 2016.
Copyright, License and No-warranty Notice
BSD 2-Clause license
Copyright (c) 2017, K.U. Leuven, Department of Computer Science,
K. Engelborghs, T. Luzyanina, G. Samaey. D. Roose, K. Verheyden,
J. Sieber, B. Wage, D. Pieroux
All rights reserved.
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