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Russian Mathematical Surveys, 2015, Volume 70, Issue 1, Pages 1–31
DOI: https://doi.org/10.1070/RM2015v070n01ABEH004935 (Mi rm9648) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Pseudo-integrable billiards and double reflection nets

V. I. Dragovićab, M. Radnovićac

a Mathematical Institute, Serbian Academy of Sciences and Arts, Belgrade, Serbia
b University of Texas at Dallas, Richardson, TX, USA
c School of Mathematics and Statistics, University of Sydney, Australia
English version PDF (778 kB) Citations (17) Russian version article
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DOI: https://doi.org/10.1070/RM2015v070n01ABEH004935
Abstract: This is a survey of two recently emerged directions in the study of billiards inside pencils of quadrics: pseudo-integrable billiards in the plane and double reflection nets.
Bibliography: 48 titles.
Keywords: elliptical billiards, polygonal billiards, periodic trajectories, double reflection configuration, discrete integrable systems, line congruences, pseudo-integrability.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 174020
Australian Research Council FL120100094
The research which led to this paper was partially supported by the Serbian Ministry of Education and Science (project no. 174020: "Geometry and Topology of Manifolds, Classical Mechanics, and Integrable Dynamical Systems") and by grant no. FL120100094 from the Australian Research Council.
Received: 30.11.2014
Bibliographic databases:
Document Type: Article
UDC: 514.144+514.853+517.929+517.933
MSC: Primary 37D50; Secondary 37J35
Language: English
Original paper language: Russian
Citation: V. I. Dragović, M. Radnović, “Pseudo-integrable billiards and double reflection nets”, Russian Math. Surveys, 70:1 (2015), 1–31
Citation in format AMSBIB
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\paper Pseudo-integrable billiards and double reflection nets
\jour Russian Math. Surveys
\yr 2015
\vol 70
\issue 1
\pages 1--31
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  • https://www.mathnet.ru/eng/rm/v70/i1/p3
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:856
    Russian version PDF:256
    English version PDF:30
    References:86
    First page:48
     
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