Geodesic
Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 18-27

Voir la notice de l'article provenant de la source Math-Net.Ru

An integrable system that is a billiard in a domain bounded by confocal ellipses and hyperbolas is studied. This system arises in the description of the motion of a point inside this domain with natural reflection from the boundary. The topological invariant of Liouville equivalence of such systems, namely, the Fomenko–Zieschang molecule, is calculated using a new method developed by the author. 
@article{VMUMM_2014_4_a2,
     author = {V. V. Fokicheva},
     title = {Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {18--27},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a2/}
}
TY  - JOUR
AU  - V. V. Fokicheva
TI  - Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2014
SP  - 18
EP  - 27
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a2/
LA  - ru
ID  - VMUMM_2014_4_a2
ER  - 
%0 Journal Article
%A V. V. Fokicheva
%T Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2014
%P 18-27
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a2/
%G ru
%F VMUMM_2014_4_a2
V. V. Fokicheva. Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 18-27. http://geodesic.mathdoc.fr/item/VMUMM_2014_4_a2/