Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens
Blot, Joël
HAL, hal-00664803 / Harvested from HAL
Text on HAL
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.
Publié le : 1989-07-05
Classification:  quasi-periodic function,  variational method,  AMS: 34C27,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00664803,
     author = {Blot, Jo\"el},
     title = {Une approche variationnelle des orbites quasi-p\'eriodiques des syst\`emes hamiltoniens},
     journal = {HAL},
     volume = {1989},
     number = {0},
     year = {1989},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00664803}
}

Blot, Joël. Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens. HAL, Tome 1989 (1989) no. 0, . http://gdmltest.u-ga.fr/item/hal-00664803/