Rotation sets and monotone periodic orbits for annulus homeomorphisms |
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| Authors: | Philip Boyland |
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| Affiliation: | (1) Institute for Mathematical Sciences, State University of New York, 11794 Stony Brook, NY |
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| Abstract: | Iff is a homeomorphism of the annulus andp/q is a rational in lowest terms that is contained in the rotation set off thenf has a (p, q)-topologically monotone periodic orbit. In addition, iff has ap/q-period orbit that is not topologically monotone then the Farey interval ofp/q is contained in the rotation set off. |
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