A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems |
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| Authors: | Giancarlo Benettin Luigi Galgani Antonio Giorgilli |
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| Institution: | (1) Dipartimento di Fisica dell'Università, Padova, Gruppo Nazionale di Struttura della Materia del C.N.R-Unità di Padova, Via Marzolo 8, Padova, Italia;(2) Dipartimento di Matematica dell'Università, Via Saldini 50, Milano, Italia;(3) Dipartimento di Fisica dell'Università, Via Celoria 16, Milano, Italia |
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| Abstract: | In the present paper we give a proof of Nekhoroshev's theorem, which is concerned with an exponential estimate for the stability times in nearly integrable Hamiltonian systems. At variance with the already published proof, which refers to the case of an unperturbed Hamiltonian having the generic property of steepness, we consider here the particular case of a convex unperturbed Hamiltonian. The corresponding simplification in the proof might be convenient for an introduction to the subject. |
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