Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space

The paper implements degenerate bifurcations of Liouville tori of systems with two degrees of freedom at a fixed energy and provided that there is no more than one special layer of the type ( $$p$$ , $$q$$ ) in the corresponding Seifert fiber space.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2025-04-01
DOI
https://doi.org/10.3103/s0027132225700251
Primary Topic
Geometric and Algebraic Topology
Type
article
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0.00
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article

Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space

А. А. Кузнецова
Moscow University Mathematics Bulletin
Geometric and Algebraic Topology
article

Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space

А. А. Кузнецова
article en

Abstract

The paper implements degenerate bifurcations of Liouville tori of systems with two degrees of freedom at a fixed energy and provided that there is no more than one special layer of the type ( $$p$$ , $$q$$ ) in the corresponding Seifert fiber space.

Moscow University Mathematics BulletinVol. 80(2)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 77%
Geometric and Algebraic Topology
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Billiard Implementation of Non-Bott Singularities of Integrable Hamiltonian Systems Having at Most One Special Layer of the Seifert Fiber Space — А. А. Кузнецова · Moscow University Mathematics Bulletin (2025) | TGRS Research Map | TGRS