Fomenko–Zieschang Invariants of Topological Billiards Bounded by Confocal Parabolas / V. V. Vedyushkina. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 4. P. 22-28 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 150-155].
A topological (Liouville) classification of integrable billiards in locally flat compact domains bounded by arcs of confocal parabolas is obtained by methods of Fomenko–Zieschang invariants of integrable systems theory.
Key words: integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant.