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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2022, том 27, выпуск 2, страницы 132–150 (Mi rcd1157)

Эта публикация цитируется в 6 статьях

Alexey Borisov Memorial Volume

Billiard Ordered Games and Books

Vladimir Dragovićab, Sean Gasiorekc, Milena Radnovićac

a Mathematical Institute SANU, Kneza Mihaila 36, 11001 Belgrade, Serbia
b Department of Mathematical Sciences, University of Texas at Dallas, 800 West Campbell Road, 75080 Richardson TX, USA
c School of Mathematics and Statistics, The University of Sydney, Carslaw F07, 2006 NSW, Australia

Аннотация: 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.

Ключевые слова: integrable systems, topological billiards, billiard books, Fomenko graphs.

MSC: 37D50, 37J35, 37J05, 37J15

Поступила в редакцию: 21.11.2021
Принята в печать: 09.02.2021

Язык публикации: английский

DOI: 10.1134/S1560354722020022



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