A Proof of the Invariant Torus Theorem of Kolmogorov

2012, Volume 17, Number 1, pp. 1-5

Author(s): Féjoz J.

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

Citation: Féjoz J., A Proof of the Invariant Torus Theorem of Kolmogorov, Regular and Chaotic Dynamics, 2012, Volume 17, Number 1, pp. 1-5