Work

Magic billiards: the case of elliptic boundaries

Year: 2025

Type: article

Abstract: We introduce a novel concept of magic billiards, which can be viewed as an umbrella unifying several well-known generalisations of mathematical billiards. We analyse the properties of magic billiards in the case of elliptic boundaries. We provide explicit conditions for periodicity in algebro-geometric, analytic and polynomial forms. A topological description of these billiards is given using Fomenko graphs. Bibliography: 45 titles.

Source: Sbornik Mathematics

DOI: 10.4213/sm10181e

Authors: Vladimir Il'ich Dragovic, Milena Radnovic

Institutions: Serbian Academy of Sciences and Arts, The University of Texas at Dallas, Mathematical Institute of the Serbian Academy of Sciences and Arts, The University of Sydney, UNSW Sydney

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze