Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
type: Item
instance of: scholarly article
title: Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
zbMATH Open document ID: 1315.37032
DOI: 10.3103/S0027132214040020
author: V. V. Vedyushkina
published in: Moscow University Mathematics Bulletin
publication date: 2015-03-24T00:00:00Z
review text: The present paper studies the singularities of a billiard in a plane, compact, not necessary convex domain bounded by confocal quadrics (ellipses and hyperbolas). A complete Liouville classification of these billiards is obtained and certain interesting generalizations are discussed.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 37D50
zbMATH DE Number: 6418918
zbMATH Keywords: singularities for billiard systems
zbMATH Keywords: confocal ellipses
zbMATH Keywords: confocal hyperbolas
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
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full work available at URL: s0027132214040020
OpenAlex ID: W2031717100
description: scientific article; zbMATH DE number 6418918