Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens
Résumé
After giving new functional analytic proofs of results on topological invariant tori and quasi-periodic orbits, we state some elements of the Calculus of Variations in Mean in order to characterize the quasi-periodic orbits of the Hamiltinian systems as critical points of certain functional on Banach spaces. Finally we prove Percival's Principle and very quickly we examine the relations with out approach.