Work

Polygonal symplectic billiards

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Experimental Mathematics

DOI: 10.56994/jxm.001.001.001

Authors: Peter Albers, Gautam Banhatti, Filip Sadlo, Richard Schwartz, Serge Tabachnikov

Institutions: Ruhr University Bochum, Heidelberg University, Brown University, Pennsylvania State University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408045230

FWCI: 1.636

Cites:

Cited by: 1

Related to: 10