V. A. Moskvin, “Topology of Liouville bundles of integrable billiard in non-convex domains”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, Number 3,Pages <nobr>21

This article is cited in 6 papers

Mathematics

Topology of Liouville bundles of integrable billiard in non-convex domains

V. A. Moskvin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Flat billiards are studied in non-convex domains bounded by segments of confocal quadrics and also in domains bounded by segments of mutually perpendicular straignt lines. The topology of isoenergetic surfaces of such billiards is studied by calculating invariants of rough Liouville's equivalency also known as Fomenko's molecule.

Key words: billiard, integrable systems, Liouville's foliation, Fomenko's invariant.

UDC: 154

Received: 27.10.2017