Autor:	Dragovic, Vladimir, Gasiorek, Sean, Radnovic, Milena
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 37C83 37J35 37J39
Druh dokumentu:	Working Paper
DOI:	10.1134/S1560354722020022
Popis:	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. Comment: 22 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.10913 Zobrazit plný text záznamu View this record from Arxiv