Stability of motions near resonances in quasi-integrable Hamiltonian systems View Full Text


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Article Info

DATE

1986-08

AUTHORS

Giancarlo Benettin, Giovanni Gallavotti

ABSTRACT

Nekhoroshev's theorem on the stability of motions in quasi-integrable Hamiltonian systems is revisited. At variance with the proofs already available in the literature, we explicitly consider the case of weakly perturbed harmonic oscillators; furthermore we prove the confinement of orbits in resonant regions, in the general case of nonisochronous systems, by using the elementary idea of energy conservation instead of more complicated mechanisms. An application of Nekhoroshev's theorem to the study of perturbed motions inside resonances is also provided. More... »

PAGES

293-338

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01011301

DOI

http://dx.doi.org/10.1007/bf01011301

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043338720


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