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Non recursive proof of the KAM theorem

Giovanni Gallavotti, Guido Gentile

chao-dynarXiv:chao-dyn/9310002

Abstract

A selfcontained proof of the KAM theorem in the Thirring model is discussed, completely relaxing the ``strong diophantine property'' hypothesis used in previous papers. Keywords: KAM, invariant tori, classical mechanics, perturbation theory, chaos

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