This article is cited in 4 papers

A Proof of the Invariant Torus Theorem of Kolmogorov

Jacques Féjoz<sup>ab

a</sup> 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

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.

MSC: 70F15

Received: 14.08.2011
Accepted: 06.12.2011

Language: English

DOI: 10.1134/S1560354712010017

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