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A KAM Theorem through Dirichlet's Box and Khintchine's Transference Principles

Bounemoura, Abed (2014), A KAM Theorem through Dirichlet's Box and Khintchine's Transference Principles, Moscow Mathematical Journal, 14, 4, p. 697-709. 10.17323/1609-4514-2014-14-4-697-709

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Type
Article accepté pour publication ou publié
Date
2014
Journal name
Moscow Mathematical Journal
Volume
14
Number
4
Publisher
Independent University of Moscow
Pages
697-709
Publication identifier
Metadata
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Author(s)
Bounemoura, Abed
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
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.
Subjects / Keywords
KAM theory; Diophantine approximation; Khintchine transference