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Moscow Mathematical Journal, 2014, Volume 14, Number 4, Pages 745–772
DOI: https://doi.org/10.17323/1609-4514-2014-14-4-745-772 (Mi mmj543) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An abstract KAM theorem

Mauricio Garay

Institut für Mathematik, Fachbereich 08, Johannes Gutenberg University, Staudingerweg 9, 55218 Mainz, Germany
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DOI: https://doi.org/10.17323/1609-4514-2014-14-4-745-772
Abstract: According to Moser, the study of normal forms in dynamical systems should be expressed in terms of infinite dimensional group actions. I present a functional analytic setting and an abstract version of the KAM theorem as a new starting point to develop this program.
Key words and phrases: KAM theory, perturbation theory, Herman conjecture.
Received: April 10, 2013; in revised form March 31, 2014
Bibliographic databases:
Document Type: Article
MSC: 37K55
Language: English
Citation: Mauricio Garay, “An abstract KAM theorem”, Mosc. Math. J., 14:4 (2014), 745–772
Citation in format AMSBIB
\Bibitem{Gar14}
\by Mauricio~Garay
\paper An abstract KAM theorem
\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 4
\pages 745--772
\mathnet{http://mi.mathnet.ru/mmj543}
\crossref{https://doi.org/10.17323/1609-4514-2014-14-4-745-772}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3292048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000349324800005}
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    • This publication is cited in the following 1 articles:
    1. M. Garay, “Arithmetic density”, Proc. Edinb. Math. Soc. (2), 59:3 (2016), 691–700  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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