arXiv:1111.2378 Abstract | arXiv Analytics

arXiv:1111.2378 [math.DS]Abstract References Reviews Resources

On torus homeomorphisms whose rotation set is an interval

Published 2011-11-10, updated 2013-02-19Version 2

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.

Comments: 50 pages, 17 figures. Addendum B was added. Accepted and corrected version, to appear in Math. Z

Categories: math.DS

Keywords: rotation set, torus homeomorphism isotopic, rational point, periodic orbit, periodic set

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