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JOURNALS // 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


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023, 78:5, 207–215

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© Steklov Math. Inst. of RAS, 2025