Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens

Joël Blot (1)

1 UNILIM - Université de Limoges

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.

Mots clés: quasi-periodic function; variational method

Domaines: Systèmes dynamiques [math.DS]

Joël Blot. Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens. Annales des sciences mathématiques du Québec, 1989, 13 (2), pp.7-32. ⟨hal-00664803⟩