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Sbornik: Mathematics, 2011, Volume 202, Issue 7, Pages 1021–1042
DOI: https://doi.org/10.1070/SM2011v202n07ABEH004175 (Mi sm7695) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of almost toric singularities of Lagrangian foliations

A. M. Izosimov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (504 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM2011v202n07ABEH004175
Abstract: The topological classification is given of almost toric singularities of integrable Hamiltonian systems with a large number of degrees of freedom, that is, of nondegenerate singularities without hyperbolic components. A descriptive geometric model is constructed, which makes it possible to perform effective calculations.
Bibliography: 10 titles.
Keywords: Hamiltonian systems, singularities, integrability, topological invariants, Lagrangian foliations.
Received: 19.02.2010 and 21.12.2010
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
MSC: Primary 37J35; Secondary 37J05, 53D05, 53D20
Language: English
Original paper language: Russian
Citation: A. M. Izosimov, “Classification of almost toric singularities of Lagrangian foliations”, Sb. Math., 202:7 (2011), 1021–1042
Citation in format AMSBIB
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\paper Classification of almost toric singularities of Lagrangian foliations
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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