Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 14–20 (Mi vmumm174)  
Mathematics

Singularities of integrable Hamiltonian systems with the same boundary foliation. An infinite series

M. A. Tuzhilin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Four-dimensional momentum map singularities of integrable Hamiltonian systems of two degrees of freedom are considered. A construction of an infinite series of pairs of 4-dimensional saddle-saddle singularities is provided so that 4-singularities are not Liouville equivalent in each pair and the 2-foliations on their 3-boundaries are Liouville equivalent.
Key words: Liouville equivalence, almost direct product of atoms, circular molecules, saddle-saddle singularities of the momentum map.
Received: 22.04.2016
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 185–190
DOI: https://doi.org/10.3103/S0027132216050028
Bibliographic databases:
Document Type: Article
UDC: 514.853, 514.762.27
Language: Russian
Citation: M. A. Tuzhilin, “Singularities of integrable Hamiltonian systems with the same boundary foliation. An infinite series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 14–20; Moscow University Mathematics Bulletin, 71:5 (2016), 185–190
Citation in format AMSBIB
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