On torus homeomorphisms whose rotation set is an interval
Dynamical Systems
2013-02-21 v2
Abstract
We prove that for a torus homeomorphism isotopic to the identity and with a lift whose rotation set is an interval, either every rational point in the rotation set is realized by a periodic orbit, or there exists an annular, essential, periodic set. In the latter case we give a qualitative description of the dynamics.
Keywords
Cite
@article{arxiv.1111.2378,
title = {On torus homeomorphisms whose rotation set is an interval},
author = {Pablo Dávalos},
journal= {arXiv preprint arXiv:1111.2378},
year = {2013}
}
Comments
50 pages, 17 figures. Addendum B was added. Accepted and corrected version, to appear in Math. Z