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

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

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..37....1b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 37, Sept. 1985, p. 1-25.

Physics

62

Exponential Functions, Hamiltonian Functions, Perturbation Theory, Proving, Systems Stability, Theorems, Canonical Forms, Convexity, Iteration, Resonance

Scientific paper

In the present paper the authors 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, the authors 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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