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)


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