Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation
Dynamical Systems
2024-07-26 v2
Abstract
We present an algorithm for the rigorous integration of Delay Differential Equations (DDEs) of the form . As an application, we give a computer assisted proof of the existence of two attracting periodic orbits (before and after the first period-doubling bifurcation) in the Mackey-Glass equation.
Keywords
Cite
@article{arxiv.1607.01080,
title = {Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation},
author = {Robert Szczelina and Piotr Zgliczyński},
journal= {arXiv preprint arXiv:1607.01080},
year = {2024}
}