A proof of the invariant torus theorem of Kolmogorov

Abstract

Kolmogorov's invariant torus theorem is proved using a simple fixed point theorem.

References in corpus (2)

• A lecture on the classical KAM theorem
• KAM à la R

Cited by in corpus (2)

• The classical KAM theorem for Hamiltonian systems via rational approximations
• A KAM theorem for generalized Hamiltonian systems without action-angle variables