Pseudo-integrable billiards and double reflection nets

Pseudo-integrable billiards and double reflection nets

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.

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Bibliographische Detailangaben
Veröffentlicht in:Russian mathematical surveys 2015-01, Vol.70 (1), p.1-31
Hauptverfasser: Dragovic, V I, Radnovic, M
Format: Artikel
Sprache:eng
Schlagworte:
Aerial surveys
discrete integrable systems
double reflection configuration
elliptical billiards
line congruences
Mathematical analysis
Pencils
periodic trajectories
Planes
polygonal billiards
pseudo-integrability
Reflection
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Beschreibung
Zusammenfassung: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.
ISSN:0036-0279
1468-4829
DOI:10.1070/RM2015v070n01ABEH004935