Computer assisted proofs of attracting periodic orbits in Mackey-Glass equation

The instructions for the compilation are included in README.txt file in the main directory of each archive. Bundled version contains a copy of CAPD library for those who never used it and does not have it. The other version is for those who want to use own version of CAPD.

Warning: source codes were tested with CAPD version 3. Currently available version is 4. I do not know if it will work with the current source codes.

The source codes requires: C/C++ compiler with C++11 (C++0x) support, CAPD library and their dependencies. See CAPD page for details. Optional (recomended): python 2.7+, gnuplot.

When refering to this work please consider citing: Szczelina, R.; Zgliczyński, P.; Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation, Foundations of Computational Mathematics (2018), Vol. 18, Iss 6, Pages 1299--1332, [Open Access, doi:10.1007/s10208-017-9369-5] [arxiv preprint]

Source codes can be downloaded here:

  • Source codes with CAPD library bundled (compressed ~9.4MB) [.zip]
  • Source codes without CAPD library (compressed ~5MB) [.zip]

The codes requires CAPD v3 (currently CAPD v4 available on the web page of the CAPD project - incompatible with the source codes). Therefore it is recommended to use Source codes with CAPD library bundled. Note: CAPD library requires up to 1.2 GB free space to be compiled!