| Authors: | Dragović, Vladimir Gasiorek, Sean Radnović, Milena |
Affiliations: | Mechanics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Billiard Ordered Games and Books | Journal: | Regular and Chaotic Dynamics | Volume: | 27 | Issue: | 2 | First page: | 132 | Last page: | 150 | Issue Date: | 1-Mar-2022 | Rank: | ~M22 | ISSN: | 1560-3547 | DOI: | 10.1134/S1560354722020022 | Abstract: | The aim of this work is to put together two novel concepts from the theory of integrable billiards: billiard ordered games and confocal billiard books.Billiard books appeared recently in the work of Fomenko’s school, in particular, of V. Vedyushkina.These more complex billiard domains are obtained by gluing planar sets bounded by arcs of confocal conics along common edges.Such domains are used in this paper to construct the configuration space for billiard ordered games.We analyse dynamical and topological properties of the systems obtained in that way. |
Keywords: | billiard books | Fomenko graphs | integrable systems | topological billiards; Mathematics - Dynamical Systems; Mathematics - Dynamical Systems; 37C83, 37J35, 37J39 | Publisher: | Springer Link |
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