Conley-Morse Graphs Computation Software

This page contains software for the computation of Conley-Morse graphs referred to in the paper Databases for the Global Dynamics of Multiparameter Systems by Zin Arai, William Kalies, Hiroshi Kokubu, Konstantin Mischaikow, Hiroe Oka, and Paweł Pilarczyk.

A preprint of this paper can be downloaded here: [ PDF ] [ PS ]

Source code. The software for computations described in the paper is written in the C++ programming language for optimal effectiveness and flexibility. The file with the source code of the software is available below for download under the terms of the GNU General Public License. It is prepared for the compilation with the GNU C++ compiler, either in Windows, or in Unix/Linux. A relatively recent version of the compiler is required to compile the code correctly. The provided makefile must be adjusted before the compilation (please, see explanations therein).

Programmer's documentation. Detailed documentation of the software has been prepared with Doxygen. Feel free to browse this documentation and learn about the details of how the software was programmed. A com compressed version of this documentation is also available below for easy download for off-line browsing; please, unzip the contents of the archive into an empty directory, and open the file index.html.

Libraries necessary to compile the software. The software uses the following libraries:

  • CHomP – Computational Homology Project software library
  • CAPD – Computer Assisted Proofs in Dynamics group
  • LAPACK – Linear Algebra Package
  • libpng – the PNG image library
  • zlib – a well-known compression library
All these libraries are publically available, mainly under the terms of the GNU General Public License. Please, refer to the websites of those libraries for the actual licensing information, the source code, and compilation instructions as well. Note that LAPACK, libpng and zlib are often included in standard Linux distributions (at least in the devel versions), so no installation might be necessary. This is not the case with the other two libraries, though. Even worse, since those libraries are undergoing dynamic development, it may turn out that their interface may slightly change in the future versions, so a copy of compatible versions of both libraries (which were actually used in the computations made for the paper) is available here: In Unix/Linux these compressed files should be unzipped in the text mode to ensure the correct conversion of line endings (add the -a command line switch in case of unzipping with the Info-ZIP software).

Compilation in MS-Windows. In order to compile the cmgraphs software in MS-Windows, it is recommended to download and install the GNU C++ compiler (packaged in wxDevCpp, for example), some Perl interpreter (a free version of ActivePerl might be a good choice), and the precompiled libraries LAPACK, libpng and zlib gathered especially for the cmgraphs program into a single package gccWinLibs.zip (to be unzipped directly into the directory containing the source code of the cmgraphs program).

Results of computations. Sample results of computations using this software discussed in the paper are available at the website http://chomp.rutgers.edu/database/

Note: An updated version of the software with some bug fixes and several new features (including support for computing a time-t map for ODEs) is available from the author upon request.