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Periodic Bounce Orbits in Magnetic Billiard Systems.

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 Man ̃ ́e critical value, there exists a periodic magnetic bounce orbit with bounded period.

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Year: 2021

Author : Anna-Maria Vocke

Prof. Dr. Peter Albers
Gabriele Benedetti