Forcing minimal patterns of triods
Abstract
Rotation numbers for some maps of triods was introduced in BMR. The goal of this paper is to study patterns of triods which don't force other patterns with the same rotation number which we name triod twists. We obtain their complete characterization and show that these patterns can be conjugated to circle rotation by a piecewise monotone map. We also describe the dynamics of unimodal triod twist patterns with a given rational rotation number.
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