Geodesic
On~typical topological properties of integrable Hamiltonian systems
Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 385-412

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The typical properties of integrable Hamiltonian systems in “general position” are described, along with the topology of constant-energy surfaces of such systems. It is proved that in the “typical case” all stable periodic solutions of the system are not contractible and are pairwise not homotopic. Bibliography: 25 titles. 
@article{IM2_1989_32_2_a6,
     author = {A. T. Fomenko and H. Zieschang},
     title = {On~typical topological properties of integrable {Hamiltonian} systems},
     journal = {Izvestiya. Mathematics },
     pages = {385--412},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a6/}
}
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A. T. Fomenko; H. Zieschang. On~typical topological properties of integrable Hamiltonian systems. Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 385-412. http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a6/