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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)
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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
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 7, Pages 95–116
DOI: https://doi.org/10.4213/sm7695
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”, Mat. Sb., 202:7 (2011), 95–116; Sb. Math., 202:7 (2011), 1021–1042
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v202/i7/p95
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:492
    Russian version PDF:208
    English version PDF:4
    References:60
    First page:54
     
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