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Pseudo-integrable billiards and double reflection nets V. I. Dragović ab ,
M. Radnović ac 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 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.
UDC:
514.144 +
514.853 +
517.929 +
517.933
MSC: Primary
37D50 ; Secondary
37J35 Received: 30.11.2014
DOI:
10.4213/rm9648
© , 2026
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