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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 2, Pages 385–412
DOI: https://doi.org/10.1070/IM1989v032n02ABEH000772 (Mi im1185) 		 
This article is cited in 50 scientific papers (total in 51 papers)

On typical topological properties of integrable Hamiltonian systems

A. T. Fomenko, H. Zieschang
English version PDF (1974 kB) Citations (51)
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DOI: https://doi.org/10.1070/IM1989v032n02ABEH000772
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.
Received: 14.07.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 2, Pages 378–407
Bibliographic databases:
Document Type: Article
UDC: 513.944
MSC: Primary 58F05, 58F07; Secondary 58E05, 58E07, 58F22, 70H10, 70H05
Language: English
Original paper language: Russian
Citation: A. T. Fomenko, H. Zieschang, “On typical topological properties of integrable Hamiltonian systems”, Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988), 378–407; Math. USSR-Izv., 32:2 (1989), 385–412
Citation in format AMSBIB
\Bibitem{FomZie88}
\by A.~T.~Fomenko, H.~Zieschang
\paper On~typical topological properties of integrable Hamiltonian systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 2
\pages 378--407
\mathnet{http://mi.mathnet.ru/im1185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=941682}
\zmath{https://zbmath.org/?q=an:0667.58014|0647.58018}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 2
\pages 385--412
\crossref{https://doi.org/10.1070/IM1989v032n02ABEH000772}
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    • This publication is cited in the following 51 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:602
    Russian version PDF:186
    English version PDF:16
    References:86
    First page:4
     
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