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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1988 Volume 52, Issue 2, Pages 378–407 (Mi im1185)

This article is cited in 50 papers

On typical topological properties of integrable Hamiltonian systems

A. T. Fomenko, H. Zieschang


Abstract: 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.

UDC: 513.944

MSC: Primary 58F05, 58F07; Secondary 58E05, 58E07, 58F22, 70H10, 70H05

Received: 14.07.1986


 English version:
Mathematics of the USSR-Izvestiya, 1989, 32:2, 385–412

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