The KAM theorem through Dirichlet's box and Khintchine's transference principles

Abed Bounemoura (1)

1 IHES - Institut des Hautes Études Scientifiques

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.

Domaines: Systèmes dynamiques [math.DS]

Abed Bounemoura. The KAM theorem through Dirichlet's box and Khintchine's transference principles. Moscow Mathematical Journal, 2014, 14 (4), pp.1-13. ⟨hal-00800944⟩