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Moscow Mathematical Journal, 2014, Volume 14, Number 4, Pages 697–709
DOI: https://doi.org/10.17323/1609-4514-2014-14-4-697-709 (Mi mmj541) 		 
A KAM theorem through Dirichlet's box and Khintchine's transference principles

Abed Bounemoura

CNRS—CEREMADE, Université Paris Dauphine & IMCCE, Observatoire de Paris
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DOI: https://doi.org/10.17323/1609-4514-2014-14-4-697-709
Abstract: In this paper, we give a new proof of the classical KAM theorem, which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khintchine transference principles.
Key words and phrases: KAM theory, Diophantine approximation, Khintchine transference.
Received: March 22, 2013; in revised form June 8, 2014
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Document Type: Article
MSC: 37J25, 37J40, 70H08, 70H09
Language: English
Citation: Abed Bounemoura, “A KAM theorem through Dirichlet's box and Khintchine's transference principles”, Mosc. Math. J., 14:4 (2014), 697–709
Citation in format AMSBIB
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\paper A KAM theorem through Dirichlet's box and Khintchine's transference principles
\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 4
\pages 697--709
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