This article is cited 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

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.

UDC: 517.938.5

MSC: Primary 37J35; Secondary 37J05, 53D05, 53D20

Received: 19.02.2010 and 21.12.2010

DOI: 10.4213/sm7695

 English version: Sbornik: Mathematics, 2011, 202:7, 1021–1042

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