Monotonicity of the over-rotation intervals for bimodal maps
Dynamical Systems
2021-03-05 v1
Abstract
We show that the connectedness of the set of parameters for which the over-rotation interval of a bimodal interval map is constant. In other words, the over-rotation interval is a monotone function of a bimodal interval map.
Cite
@article{arxiv.2103.03058,
title = {Monotonicity of the over-rotation intervals for bimodal maps},
author = {Sourav Bhattacharya and Alexander Blokh},
journal= {arXiv preprint arXiv:2103.03058},
year = {2021}
}