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May 26, 2010 at 22:03 comment added coudy Nice ! Now I recall some paper by Le Roux, where he defines a "rotation set" near a fixed point of a homeomorphism. This is an invariant of local topological conjugacy. This invariant is a subset of the real numbers, and is either empty or a single point for a diffeomorphism. I would guess that it is not the case in your example. The paper is here (it's written in French) tel.archives-ouvertes.fr/tel-00349243/en
May 26, 2010 at 19:44 history edited Sergei Ivanov CC BY-SA 2.5
mentioned topological entropy; deleted 8 characters in body
May 26, 2010 at 19:35 vote accept rpotrie
May 26, 2010 at 19:31 history answered Sergei Ivanov CC BY-SA 2.5