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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 1, Pages 1–5
DOI: https://doi.org/10.1134/S1560354712010017 (Mi rcd90) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A Proof of the Invariant Torus Theorem of Kolmogorov

Jacques Féjozab

a Université Paris-Dauphine – CEREMADE (UMR 7534) Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France
b Observatoire de Paris – IMCCE (UMR 8028), 77 avenue Denfert-Rochereau, 75014 Paris, France
Citations (3)
DOI: https://doi.org/10.1134/S1560354712010017
Abstract: A variant of Kolmogorov’s initial proof is given, in terms of a group of symplectic transformations and of an elementary fixed point theorem.
Keywords: Celestial Mechanics.
Funding agency Grant number
Agence Nationale de la Recherche ANR-07-BLAN-0361
DynPDE ANR-10-LAN-0102
The author has been partially supported by the French ANR (Projets KamFaible ANR-07-BLAN-0361 and DynPDE ANR-10-LAN-0102).
Received: 14.08.2011
Accepted: 06.12.2011
Bibliographic databases:
Document Type: Article
MSC: 70F15
Language: English
Citation: Jacques Féjoz, “A Proof of the Invariant Torus Theorem of Kolmogorov”, Regul. Chaotic Dyn., 17:1 (2012), 1–5
Citation in format AMSBIB
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\by Jacques F\'ejoz
\paper A Proof of the Invariant Torus Theorem of Kolmogorov
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 1
\pages 1--5
\mathnet{http://mi.mathnet.ru/rcd90}
\crossref{https://doi.org/10.1134/S1560354712010017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2886622}
\zmath{https://zbmath.org/?q=an:1252.70033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000300292000001}
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  • https://www.mathnet.ru/eng/rcd/v17/i1/p1
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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