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Russian Mathematical Surveys, 1963, Volume 18, Issue 5, Pages 9–36
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004130 (Mi rm6404) 		 
This article is cited in 739 scientific papers (total in 740 papers)

Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian

V. I. Arnol'd
English version PDF (1360 kB) Citations (740) Russian version article
DOI: https://doi.org/10.1070/RM1963v018n05ABEH004130
Received: 15.01.1963
Bibliographic databases:
Document Type: Article
MSC: 70H09, 70H05, 70K43, 70H33, 70F05, 70F10
Language: English
Original paper language: Russian
Citation: V. I. Arnol'd, “Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian”, Russian Math. Surveys, 18:5 (1963), 9–36
Citation in format AMSBIB
\Bibitem{Arn63}
\by V.~I.~Arnol'd
\paper Proof of a~theorem of A.\,N.~Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
\jour Russian Math. Surveys
\yr 1963
\vol 18
\issue 5
\pages 9--36
\mathnet{http://mi.mathnet.ru/eng/rm6404}
\crossref{https://doi.org/10.1070/RM1963v018n05ABEH004130}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=163025}
\zmath{https://zbmath.org/?q=an:0129.16606}
Linking options:
  • https://www.mathnet.ru/eng/rm6404
  • https://doi.org/10.1070/RM1963v018n05ABEH004130
  • https://www.mathnet.ru/eng/rm/v18/i5/p13
    • This publication is cited in the following 740 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:4349
    Russian version PDF:1361
    English version PDF:305
    References:4
    First page:9
     
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