Vocke, Anna-Maria
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Abstract
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.
| Document type: | Dissertation |
|---|---|
| Supervisor: | Albers, Prof. Dr. Peter |
| Place of Publication: | Heidelberg |
| Date of thesis defense: | 23 July 2021 |
| Date Deposited: | 05 Aug 2021 10:10 |
| Date: | 2021 |
| Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
| DDC-classification: | 500 Natural sciences and mathematics 510 Mathematics |
