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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2018
Number 4,
Pages
22–28
(Mi vmumm557)
This article is cited in
4
papers
Mathematics
Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas
V. V. Vedyushkina
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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.
Key words:
integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant.
UDC:
517.938.5
Received:
22.12.2017
Fulltext:
PDF file (461 kB)
References
Cited by
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018,
73
:4,
150–155
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (461 kB)