Recurrence and periodic billiard orbits in polygons
type: Item
instance of: scholarly article
title: Recurrence and periodic billiard orbits in polygons
zbMATH Open document ID: 1049.37024
author: Serge Troubetzkoy
published in: Regular and Chaotic Dynamics
publication date: 2004-09-07T00:00:00Z
review text: It is shown that almost all billiard trajectories return parallel to themselves for rank 1, ergodic polygons. Applications are given to the existence of periodic trajectories.
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 37J10
Mathematics Subject Classification ID: 37A40
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 37C27
zbMATH DE Number: 2097404
zbMATH Keywords: billiard in a polygon
zbMATH Keywords: Poincaré recurrence theorem
zbMATH Keywords: angularly recurrent polygon
zbMATH Keywords: periodic orbit
MaRDI profile type: Publication
DOI: 10.1070/RD2004V009N01ABEH000259
description: scientific article; zbMATH DE number 2097404