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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 2, Pages 421–465
DOI: https://doi.org/10.1070/SM1995v081n02ABEH003545
(Mi sm890)
 

This article is cited in 46 scientific papers (total in 46 papers)

Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I

A. V. Bolsinov, A. T. Fomenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: 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.
Received: 13.10.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 4, Pages 27–80
Bibliographic databases:
Document Type: Article
UDC: 515.1
MSC: Primary 58F05, 57M20; Secondary 57N13, 57M15, 57N35
Language: English
Original paper language: Russian
Citation: A. V. Bolsinov, A. T. Fomenko, “Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I”, Mat. Sb., 185:4 (1994), 27–80; Russian Acad. Sci. Sb. Math., 81:2 (1995), 421–465
Citation in format AMSBIB
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\by A.~V.~Bolsinov, A.~T.~Fomenko
\paper Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A~classification theorem.~I
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 4
\pages 27--80
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1272186}
\zmath{https://zbmath.org/?q=an:0828.58020}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 2
\pages 421--465
\crossref{https://doi.org/10.1070/SM1995v081n02ABEH003545}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RB51300008}
Linking options:
  • https://www.mathnet.ru/eng/sm890
  • https://doi.org/10.1070/SM1995v081n02ABEH003545
  • https://www.mathnet.ru/eng/sm/v185/i4/p27
  • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:813
    Russian version PDF:224
    English version PDF:17
    References:67
    First page:4
     
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