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Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems |
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| Authors: | L Chierchia |
| Institution: | (1) 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 |
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