Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A~classification theorem.~I
Sbornik. Mathematics, Tome 81 (1995) no. 2, pp. 421-465

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A classification of the integrable Hamiltonian systems with two degrees of freedom on three-dimensional constant energy surfaces is obtained up to homeomorphisms that preserve the trajectories.
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     author = {A. V. Bolsinov and A. T. Fomenko},
     title = {Orbital equivalence of integrable {Hamiltonian} systems with two degrees of freedom. {A~classification} {theorem.~I}},
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A. V. Bolsinov; A. T. Fomenko. Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A~classification theorem.~I. Sbornik. Mathematics, Tome 81 (1995) no. 2, pp. 421-465. http://geodesic.mathdoc.fr/item/SM_1995_81_2_a7/