The equations investigated are: Mackey-Glass from J. Losson, M. C. Mackey, A. Longtin, Chaos 3(1993), No. 2, 167–176, and Rössler ODE from O.E. Rössler. An equation for continuous chaos. Physics Letters A, 57(5):397–398, 1976.
We prove existence of 3 periodic orbits (apparently unstable) for the Mackey-Glass equation, and the existence of symbolic dynamics in delay-perturbed Rössler ODE. The perturbation is small in amplitude, but the delay is relatively large (equal to 1).
The instructions for the compilation are included in README.txt file in the main directory of each archive. The source code contains bundled version of CAPD library for those who never used it and does not have it.
The source codes requires: C/C++ compiler with C++11 (C++0x) support,
CAPD library and their dependencies. See CAPD page for details.
For the convenience of the user the CAPD library is included with a script to make compilation easier.
Optional (recomended): gnuplot.
When refering to this work please consider citing:
Szczelina, R.; Zgliczyński, P.;
High-order Lohner-type algorithm for rigorous computation of Poincare maps in systems of Delay Differential Equations with several delays.,
Submitted,
[arxiv preprint]
Source codes can be downloaded here:
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