Invariant KAM tori and global stability for Hamiltonian systems View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1997-01

AUTHORS

A. Giorgilli, A. Morbidelli

ABSTRACT

We point out a deep connection between KAM theorem and Nekhoroshev's theorem. Precisely, we reformulated the construction by Arnold of the set of invariant tori using Nekhoroshev's theorem as a basic tool. We prove in this way the existence of a hierarchic structure of nested domains characterized by a diffusion speed exponentially decreasing at each step. The set of KAM tori appears as the domain characterized by vanishing diffusion speed. More... »

PAGES

102-134

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/pl00001462

DOI

http://dx.doi.org/10.1007/pl00001462

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021394303


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