Geodesic
Non-degenerate systems and generic properties of the integrable Hamiltonian systems
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 184-192

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The goal of the paper is to clarify whether the non-degenerate Hamiltinian systems are “typical” among all integrable systems. The importance of this problem is emphasized by a theorem of Fomenko–Zieschang, in which an isoenergy invariant determining the nondegenerate systems up to topological equivalence is constructed. Bibl. 12 titles. 
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     author = {V. V. Kalashnikov},
     title = {Non-degenerate systems and generic properties of the integrable {Hamiltonian} systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {235},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a6/}
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V. V. Kalashnikov. Non-degenerate systems and generic properties of the integrable Hamiltonian systems. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 184-192. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a6/