Rigorous enclosures of rotation numbers by interval methods
Dynamical Systems
2015-09-25 v1
Abstract
We apply set-valued numerical methods to compute an accurate enclosure of the rotation number. The described algorithm is supplemented with a method of proving the existence of periodic points, which is used to check the rationality of the rotation number. A few numerical experiments are presented to show that the implementation of interval methods produces a good enclosure of the rotation number of a circle map.
Cite
@article{arxiv.1509.07272,
title = {Rigorous enclosures of rotation numbers by interval methods},
author = {Anna Belova},
journal= {arXiv preprint arXiv:1509.07272},
year = {2015}
}
Comments
13 pages, 3 figures