DDE-BIFTOOL:时滞微分方程的分叉分析-开源

****** DDE-BIFTOOL v. 3.1.1 ****** * Installation * Reference_and_documentation * Contributors * Citation * Copyright,_License_and_No-warranty_notice =============================================================================== ***** Installation ***** * Unzipping ddebiftool.zip creates a "dde_biftool" directory (named "dde_biftool") containing the subfolders: o ddebiftool (basic DDE-BIFTOOL routines), o demos (example scripts illustrating the use of DDE-BIFTOOL), o ddebiftool_extra_psol (extension for local bifurcations of periodic orbits), o ddebiftool_extra_nmfm (extension for normal form coefficient computations at local bifurcations of equilibria in DDEs with constant delay), o ddebiftool_utilities (auxiliary functions), o ddebiftool_extra_rotsym (extension for systems with rotational symmetry). o external_tools (support scripts, such as a Mathematica and a Maple script for generating derivative functions used in DDE-BIFTOOL). * To test the tutorial demo "neuron" (the instructions below assume familiarity with Matlab or octave): o Start Matlab (version 7.0 or higher) or octave (tested with version 3.8.1) o Inside Matlab or octave change working directory to demos/neuron using the "cd" command o Execute script "rundemo" to perform all steps of the tutorial demo o 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. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/ or other materials provided with the distribution. 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