A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1985-09

AUTHORS

Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli

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. More... »

PAGES

1-25

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01230338

DOI

http://dx.doi.org/10.1007/bf01230338

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1031307341


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