Quantitative perturbation theory by successive elimination of harmonics |
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| Authors: | Alessandro Morbidelli Antonio Giorgilli |
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| Affiliation: | (1) Département de Mathématique FUNDP, 8 Rempart de la Vierge, B-5000 Namur, Belgium;(2) Dipartimento di Matematica dell'Universitá di Milano, Via Saldini 50, 20133 Milano, Italy |
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| 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. |
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| Keywords: | Perturbation methods KAM theorem Nekhoroshev theorem action-angle variables |
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