%0 Generic
%A Vocke, Anna-Maria
%C Heidelberg
%D 2021
%F heidok:30311
%R 10.11588/heidok.00030311
%T Periodic bounce orbits in magnetic billiard systems
%U https://archiv.ub.uni-heidelberg.de/volltextserver/30311/
%X 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.