Geodesic
Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2014), pp. 18-27 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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