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- W2028244819 abstract "In this paper, we give a new proof of the classical KAM theorem on the persistence of an invariant quasi-periodic torus, whose frequency vector satisfies the Bruno-Rüssmann condition, in real-analytic non-degenerate Hamiltonian systems close to integrable. The proof, which uses rational approximations instead of small divisors estimates, is an adaptation to the Hamiltonian setting of the method we introduced in [4] for perturbations of constant vector fields on the torus." @default.
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- W2028244819 date "2014-03-01" @default.
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- W2028244819 title "The classical KAM theorem for Hamiltonian systems via rational approximations" @default.
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