Over-rotation intervals of bimodal interval maps
Dynamical Systems
2019-08-22 v1
Abstract
We describe all possible bimodal over-twist patterns. In particular, we give an algorithm allowing one to determine what the left endpoint of the over-rotation interval of a given bimodal map is. We then define a new class of polymodal interval maps called well behaved, and generalize the above results onto well behaved maps.
Cite
@article{arxiv.1908.07635,
title = {Over-rotation intervals of bimodal interval maps},
author = {Sourav Bhattacharya and Alexander Blokh},
journal= {arXiv preprint arXiv:1908.07635},
year = {2019}
}
Comments
33 pages and 13 figures