This article is cited in 19 papers

Kolmogorov’s 1954 Paper on Nearly-Integrable Hamiltonian Systems

L. Chierchia

Dipartimento di Matematica, Università “Roma Tre”, Largo S. L. Murialdo 1, I-00146 Roma, Italy

Abstract: Following closely Kolmogorov’s original paper [1], we give a complete proof of his celebrated Theorem on perturbations of integrable Hamiltonian systems by including few "straightforward" estimates.

Keywords: Kolmogorov’s theorem, KAM theory, small divisors, Hamiltonian systems, perturbation theory, symplectic transformations, nearly-integrable systems.

MSC: 37J40, 70H08, 37J05, 37J25

Received: 17.10.2007
Accepted: 02.11.2007

Language: English

DOI: 10.1134/S1560354708020056

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