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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 2, Pages 132–150
DOI: https://doi.org/10.1134/S1560354722020022 (Mi rcd1157) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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
Citations (6)
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DOI: https://doi.org/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: integrable systems, topological billiards, billiard books, Fomenko graphs.
Funding agency Grant number
Australian Research Council DP200100210
Science Fund of the Republic of Serbia 7744592
Simons Foundation 854861
This research is partially supported by the Discovery Project No. DP200100210 Geometric analysis of non-linear systems from the Australian Research Council, by the Mathematical Institute of the Serbian Academy of Sciences and Arts, the Science Fund of Serbia grant Integrability and Extremal Problems in Mechanics, Geometry and Combinatorics, MEGIC, Grant No. 7744592 and the Ministry for Education, Science, and Technological Development of Serbia and the Simons Foundation grant No. 854861.
Received: 21.11.2021
Accepted: 09.02.2021
Bibliographic databases:
Document Type: Article
MSC: 37D50, 37J35, 37J05, 37J15
Language: English
Citation: Vladimir Dragović, Sean Gasiorek, Milena Radnović, “Billiard Ordered Games and Books”, Regul. Chaotic Dyn., 27:2 (2022), 132–150
Citation in format AMSBIB
\Bibitem{DraGasRad22}
\by Vladimir Dragovi\'c, Sean Gasiorek, Milena Radnovi\'c
\paper Billiard Ordered Games and Books
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 2
\pages 132--150
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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