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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
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\by Mauricio~Garay
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\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 4
\pages 745--772
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