Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
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.
scientific article; zbMATH DE number 6418918
scientific article