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arXiv · 1111.2378

On torus homeomorphisms whose rotation set is an interval

Pablo Dávalos
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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.

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Pablo Dávalos. 2011-11-10. On torus homeomorphisms whose rotation set is an interval. https://arxiv.org/abs/1111.2378

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