Recent advances in rigorous computation of Poincar\'e maps
Numerical Analysis
2022-04-20 v1 Numerical Analysis
Dynamical Systems
Abstract
In this article we present recent advances on interval methods for rigorous computation of Poincar\'e maps. We also discuss the impact of choice of Poincar\'e section and coordinate system on obtained bounds for computing Poincar\'e map nearby fixed points.
Keywords
Cite
@article{arxiv.2104.08046,
title = {Recent advances in rigorous computation of Poincar\'e maps},
author = {Tomasz Kapela and Daniel Wilczak and Piotr Zgliczyński},
journal= {arXiv preprint arXiv:2104.08046},
year = {2022}
}
Comments
26 pages, 6 tables, 6 figures