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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