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This article is cited in 18 scientific papers (total in 18 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.
Received: 17.10.2007 Accepted: 02.11.2007
Citation:
L. Chierchia, “Kolmogorov’s 1954 Paper on Nearly-Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 13:2 (2008), 130–139
Linking options:
https://www.mathnet.ru/eng/rcd565 https://www.mathnet.ru/eng/rcd/v13/i2/p130
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Abstract page: | 92 |
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