Persistence of periodic billiard orbits under domain deformation

Fuente: arXiv
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1. Verfasser: Everett, Samuel
Format: Preprint
Veröffentlicht: 2026
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author Everett, Samuel
author_facet Everett, Samuel
contents We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygon in the path admits a periodic billiard orbit of the same type.
format Preprint
id arxiv_https___arxiv_org_abs_2605_04362
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Persistence of periodic billiard orbits under domain deformation
Everett, Samuel
Dynamical Systems
We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygon in the path admits a periodic billiard orbit of the same type.
title Persistence of periodic billiard orbits under domain deformation
topic Dynamical Systems
url https://arxiv.org/abs/2605.04362