Quantitative perturbation theory by successive eliminations of harmonics
by Alessandro Morbidelli and Antonio Giorgilli
Abstract:
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.
Cel. Mech. 55, 131-159 (1993)
G-zipped file;
Zip compressed file;