Preprint C137/2011
On torus homeomorphisms whose rotation set is an interval

Pablo Dávalos

**Keywords: **
torus homeomorphisms | rotation set

We prove that for a homeomorphism of the two-dimensional torus whose rotation set is an interval, either every rational point is realized by a periodic orbit, or there exists an essential annular periodic set. In the latter case we also give a qualitative description of the dynamics.