Rotation sets and monotone periodic orbits for annulus homeomorphisms

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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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Mathematical Dynamics and Fractals Geometric and Algebraic Topology Advanced Differential Equations and Dynamical Systems

Publication Details

Published in: Commentarii Mathematici Helvetici

Volume 67, Issue 1, pp. 203-213

DOI: 10.1007/bf02566496

Field-Weighted Citation Impact: 2.44

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Rotation sets and monotone periodic orbits for annulus homeomorphisms

Authors

Abstract

Topics & Keywords

Publication Details