Geodesic
Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb R^2$ in extended neighbourhoods of simple singular points. III. Realization
Sbornik. Mathematics, Tome 186 (1995) no. 10, pp. 1477-1491 Cet article a éte moissonné depuis la source Math-Net.Ru

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The classification of integrable Hamiltonian systems in extended neighbourhoods of simple singular points, initiated in [1] and [2], is completed. This paper is a direct continuation of [1] and [2] and uses all the concepts, definitions, and results presented there. As promised in [2], the aim here is to realize all admissible types of the invariants describing the iso-energetic equivalence of integrable Hamiltonian systems with two degrees of freedom in extended neighbourhoods of simple singular points. In doing that, all admissible types of Poisson actions of the group $\mathbb R^2$ on a four-dimensional symplectic manifold are also realized. Some of the examples constructed are of a purely illustrative nature, while others are more meaningful and occur in applications. 
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     title = {Classification of four-dimensional integrable {Hamiltonian} systems and {Poisson} actions of $\mathbb R^2$ in extended neighbourhoods of simple singular points. {III.~Realization}},
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L. M. Lerman; Ya. L. Umanskii. Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of $\mathbb R^2$ in extended neighbourhoods of simple singular points. III. Realization. Sbornik. Mathematics, Tome 186 (1995) no. 10, pp. 1477-1491. http://geodesic.mathdoc.fr/item/SM_1995_186_10_a5/

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