Pseudo-integrable billiards and double reflection nets
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 1, pp. 1-31
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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, periodic trajectories, double reflection configuration, discrete integrable systems, line congruences, pseudo-integrability.
Mots-clés : polygonal billiards
Mots-clés : polygonal billiards
@article{RM_2015_70_1_a0,
author = {V. I. Dragovi\'c and M. Radnovi\'c},
title = {Pseudo-integrable billiards and double reflection nets},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1--31},
publisher = {mathdoc},
volume = {70},
number = {1},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2015_70_1_a0/}
}
TY - JOUR AU - V. I. Dragović AU - M. Radnović TI - Pseudo-integrable billiards and double reflection nets JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2015 SP - 1 EP - 31 VL - 70 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_2015_70_1_a0/ LA - en ID - RM_2015_70_1_a0 ER -
V. I. Dragović; M. Radnović. Pseudo-integrable billiards and double reflection nets. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 1, pp. 1-31. http://geodesic.mathdoc.fr/item/RM_2015_70_1_a0/