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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2023
Number 5,
Pages
3–10
(Mi vmumm4561)
This article is cited in
4
papers
Mathematics
Modeling of degenerate peculiarities of integrable billiard systems by billiard books
A. A. Kuznetsova
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
Examples of degenerate (non Morse type) multi-saddle singularities (atoms) of complexity 1 and multiplicity 3 are realized by integrable billiard books.
Key words:
integrable system, billiard book, Liouville's foliation, confocal quadrics, degenerate exception, 3-atom.
UDC:
517.938.5
Received:
23.06.2022
DOI:
10.55959/MSU0579-9368-1-64-5-1
Fulltext:
PDF file (512 kB)
References
Cited by
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023,
78
:5,
207–215
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025