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 implementations.
Authors
- Richard Evan Schwartz (ORCID: https://orcid.org/0000-0003-1383-2941)
- Filip Sadlo (ORCID: https://orcid.org/0000-0002-8949-8452)
- Gautam Banhatti (ORCID: https://orcid.org/0000-0002-8668-310X)
- Serge Tabachnikov (ORCID: https://orcid.org/0000-0001-5398-7820)
- Peter Albers (ORCID: https://orcid.org/0000-0002-7324-0609)
Institutions
- Pennsylvania State University (US)
- John Brown University (US)
- Heidelberg University (DE)
- Scientific Computing Associates (United States) (US)
- Ruhr University Bochum (DE)
Publication Details
- Journal
- Journal of Experimental Mathematics
- Published
- 2025-02-28
- DOI
- https://doi.org/10.56994/jxm.001.001.001
- Citations
- 1
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 1.32