Constructing invariant tori using guaranteed Euler method
Systems and Control
2021-06-09 v1 Systems and Control
Abstract
We show here how, using Euler's integration method and an associated function bounding the error in function of time, one can generate structures closely surrounding the invariant tori of dynamical systems. Such structures are constructed from a finite number of balls of and encompass the deformations of the tori when small perturbations of the flow of the system occur.
Cite
@article{arxiv.2106.04251,
title = {Constructing invariant tori using guaranteed Euler method},
author = {Jawher Jerray and Laurent Fribourg},
journal= {arXiv preprint arXiv:2106.04251},
year = {2021}
}
Comments
15 pages, 7 figures. arXiv admin note: text overlap with arXiv:2012.09310