| DC Field | Value | Language |
|---|
| dc.contributor.author | Dragović, Vladimir | en_US |
| dc.contributor.author | Radnović, Milena | en_US |
| dc.date.accessioned | 2024-11-25T13:12:31Z | - |
| dc.date.available | 2024-11-25T13:12:31Z | - |
| dc.date.issued | 2024 | - |
| dc.identifier.issn | 2331-8422 | - |
| dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5397 | - |
| dc.description | 19 pages, 14 figures | en_US |
| dc.description.abstract | In this work, we introduce a novel concept of magic billiards, which can be
seen as an umbrella, unifying several well-known generalisations of
mathematical billiards. We analyse properties of magic billiards in the case of
elliptical boundaries. We provide explicit conditions for periodicity in
algebro-geometric, analytic, and polynomial forms. A topological description of
those billiards is given using Fomenko graphs. | en_US |
| dc.publisher | arXiv | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.subject | Mathematics - Dynamical Systems; Mathematics - Dynamical Systems; Nonlinear Sciences - Exactly Solvable and Integrable Systems; 37C83, 37J35, 37J39 | en_US |
| dc.title | Magic Billiards: the Case of Elliptical Boundaries | en_US |
| dc.type | Other | en_US |
| dc.identifier.scopus | 2-s2.0-85204812595 | - |
| dc.identifier.url | http://arxiv.org/abs/2409.03158v2 | - |
| dc.contributor.affiliation | Mechanics | en_US |
| dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | en_US |
| item.grantfulltext | open | - |
| item.openairetype | Other | - |
| item.cerifentitytype | Publications | - |
| item.fulltext | With Fulltext | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
| crisitem.author.orcid | 0000-0002-0295-4743 | - |
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