Braids and linked periodic orbits of disc homeomorphisms
Dynamical Systems
2023-12-11 v3 Algebraic Topology
Geometric Topology
Abstract
This paper concerns on linked periodic orbits of orientation-preserving homeomorphisms of the -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 -periodic orbits of pseudo-Anosov braid types, we provide new examples of linked orbits of periods at most .
Cite
@article{arxiv.2303.04570,
title = {Braids and linked periodic orbits of disc homeomorphisms},
author = {Xiang Liu},
journal= {arXiv preprint arXiv:2303.04570},
year = {2023}
}
Comments
14 pages, 2 figures