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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2020
Number 1,
Pages
64–68
(Mi vmumm4305)
This article is cited in
12
papers
Short notes
The Liouville foliation of the billiard book modelling the Goryachev–Chaplygin case
V. V. Vedyushkina
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The Fomenko–Zieshang invariant of an interesting case of an integrable billiard book is calculated and it is shown that such a book models the dynamics of Goryachev–Chaplygin integrable case on a certain isoenergy surface.
Key words:
integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant.
UDC:
517.938.5
Received:
19.12.2018
Fulltext:
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References
Cited by
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020,
75
:1,
42–46
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (270 kB)