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arXiv · 2303.04570

Braids and linked periodic orbits of disc homeomorphisms

Xiang Liu
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Abstract

This paper concerns on linked periodic orbits of orientation-preserving homeomorphisms of the $2$-disc in the sense of Gambaudo. We interpret the linking of periodic orbits by using their induced braids. Then based on the forcing relation of braids, we present a method for finding periodic orbits which are linked with a given one. In particular, for $3$-periodic orbits of pseudo-Anosov braid types, we provide new examples of linked orbits of periods at most $4$.

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Xiang Liu. 2023-03-08. Braids and linked periodic orbits of disc homeomorphisms. https://doi.org/10.1016/j.topol.2023.108778

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