We revisit some results of perturbation theories by a method of successive elimination of harmonics inspired by some ideas of Delaunay. On the one hand, we give a connection between the KAM theorem and the Nekhoroshev theorem. On the other hand, we support in a quantitative fashion a semi-numerical method of analysis of a perturbed system recently introduced by one of the authors.
|Titolo:||Quantitative perturbation theory by successive eliminations of harmonics|
|Autori interni:||GIORGILLI, ANTONIO (Ultimo)|
|Data di pubblicazione:||feb-1993|
|Digital Object Identifier (DOI):||10.1007/BF00692425|
|Appare nelle tipologie:||01 - Articolo su periodico|