Geodesic
Fomenko--Zieschang invariants of topological billiards bounded by confocal parabolas
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 22-28

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A topological (Liouville) classification of integrable billiards in locally flat compact domains bounded by arcs of confocal parabolas is obtained using methods of the Fomenko–Zieschang theory on invariants of integrable systems. 
@article{VMUMM_2018_4_a3,
     author = {V. V. Vedyushkina},
     title = {Fomenko--Zieschang invariants of topological billiards bounded by confocal parabolas},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {22--28},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a3/}
}
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V. V. Vedyushkina. Fomenko--Zieschang invariants of topological billiards bounded by confocal parabolas. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 22-28. http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a3/