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Decomposition of nondegenerate singularities of integrable Hamiltonian systems. (English) Zbl 0842.58032
The main purpose of the paper is to give a topological classification of stable nondegenerate singularities of smooth integrable Hamiltonian systems. Namely, the author shows that all such singularities can be decomposed diffeomorphically, after a finite covering, to the direct product of simplest (codimension 1 and codimension 2 focus-focus) singularities.
Reviewer: Y.Kozai (Tokyo)

37J05 Relations of dynamical systems with symplectic geometry and topology (MSC2010)
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
58K45 Singularities of vector fields, topological aspects
Full Text: DOI
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