A proof of the invariant torus theorem of Kolmogorov

Féjoz, Jacques

Féjoz, Jacques (2012), A proof of the invariant torus theorem of Kolmogorov, Regular and Chaotic Dynamics, 17, 1, p. 1-5. http://dx.doi.org/10.1134/S1560354712010017

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1102.0923v2

Date

2012

Journal name

Regular and Chaotic Dynamics

Volume

Number

Publisher

Springer

Pages

1-5

Abstract (EN)

A variant of Kolmogorov’s initial proof is given, in terms of a group of symplectic transformations and of an elementary fixed point theorem.

Subjects / Keywords

Celestial Mechanics