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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 4, Pages 22–28
(Mi vmumm557)
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This article is cited in 4 scientific papers (total 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.
Received: 22.12.2017
Citation:
V. V. Vedyushkina, “Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 4, 22–28; Moscow University Mathematics Bulletin, 73:4 (2018), 150–155
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https://www.mathnet.ru/eng/vmumm557 https://www.mathnet.ru/eng/vmumm/y2018/i4/p22
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Abstract page: | 165 | Full-text PDF : | 45 | References: | 18 | First page: | 3 |
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