Kolmogorov’s 1954 Paper on Nearly-Integrable Hamiltonian Systems

2008, Volume 13, Number 2, pp. 130-139

Author(s): Chierchia L.

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

Citation: Chierchia L., Kolmogorov’s 1954 Paper on Nearly-Integrable Hamiltonian Systems, Regular and Chaotic Dynamics, 2008, Volume 13, Number 2, pp. 130-139

DOI: 10.1134/S1560354708020056

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