On torus homeomorphisms whose rotation set is an interval

Details On torus homeomorphisms whose rotation set is an interval On torus homeomorphisms whose rotation set is an interval

2011-11-10

arxiv.org/abs/1111.2378v1

Mathematics

Dynamical Systems

Ph.D. thesis

Scientific paper

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.

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