title: Periodic bounce orbits in magnetic billiard systems
creator: Vocke, Anna-Maria
subject: ddc-500
subject: 500 Natural sciences and mathematics
subject: ddc-510
subject: 510 Mathematics
description: This is an invitation to play magnetic billiards. We consider a billiard table that is an n-dimensional compact Riemannian manifold with smooth boundary. This is a generalization of the classical billiard game. In particular, we study  periodic orbits on a prescribed energy level in the magnetic setup. We show that for sufficiently high energy values above the Mañé critical value, there exists a periodic magnetic bounce orbit with bounded period.
date: 2021
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/30311/1/Dissertation_Vocke_Bib.pdf
identifier: DOI:10.11588/heidok.00030311
identifier: urn:nbn:de:bsz:16-heidok-303118
identifier:   Vocke, Anna-Maria  (2021) Periodic bounce orbits in magnetic billiard systems.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/30311/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng