Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Izvestiya, 1991, Volume 36, Issue 3, Pages 567–596
DOI: https://doi.org/10.1070/IM1991v036n03ABEH002035 (Mi im1086) 		 
This article is cited in 105 scientific papers (total in 106 papers)

A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom

A. T. Fomenko, H. Zieschang
English version PDF (1797 kB) Citations (106)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1991v036n03ABEH002035
Abstract: A new topological invariant is constructed which classifies integrable Hamiltonian systems with two degrees of freedom (admitting a Bott integral). A criterion for the equivalence of Bott systems is proved: such systems are topologically equivalent if and only if their topological invariants coincide. The topological invariant is effectively calculated for specific integrable Hamiltonian systems in physics and mechanics.
Received: 23.09.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 3, Pages 546–575
Bibliographic databases:
Document Type: Article
UDC: 513.944
MSC: Primary 58F05; Secondary 57M99
Language: English
Original paper language: Russian
Citation: A. T. Fomenko, H. Zieschang, “A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom”, Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990), 546–575; Math. USSR-Izv., 36:3 (1991), 567–596
Citation in format AMSBIB
\Bibitem{FomZie90}
\by A.~T.~Fomenko, H.~Zieschang
\paper A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 3
\pages 546--575
\mathnet{http://mi.mathnet.ru/im1086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1072695}
\zmath{https://zbmath.org/?q=an:0723.58024|0705.58023}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..36..567F}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 36
\issue 3
\pages 567--596
\crossref{https://doi.org/10.1070/IM1991v036n03ABEH002035}
Linking options:
  • https://www.mathnet.ru/eng/im1086
  • https://doi.org/10.1070/IM1991v036n03ABEH002035
  • https://www.mathnet.ru/eng/im/v54/i3/p546
    • This publication is cited in the following 106 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1175
    Russian version PDF:363
    English version PDF:38
    References:84
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024