Polygonal symplectic billiards
In this article, we study polygonal symplectic billiards. We provide new results, some of which are inspired by numerical investigations. In particular, we present several polygons for which all orbits are periodic. We demonstrate their properties and derive various conjectures using two numerical i...
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| Hauptverfasser: | , , , , |
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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
19 Dec 2019
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| In: |
Arxiv
Year: 2019, Pages: 1-23 |
| DOI: | 10.48550/arXiv.1912.09404 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.1912.09404 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1912.09404 
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| Verfasserangaben: | Peter Albers, Gautam Banhatti, Filip Sadlo, Richard Schwartz, and Serge Tabachnikov |
| Zusammenfassung: | In this article, we study polygonal symplectic billiards. We provide new results, some of which are inspired by numerical investigations. In particular, we present several polygons for which all orbits are periodic. We demonstrate their properties and derive various conjectures using two numerical implementations. |
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| Beschreibung: | Gesehen am 12.07.2022 |
| Beschreibung: | Online Resource |
| DOI: | 10.48550/arXiv.1912.09404 |