96-251 Federico Bonetto, Giovanni Gallavotti, Guido Gentile,

Quasi linear flows on tori: regularity of their linearization (102K, tex) Jun 6, 96

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Abstract. Under suitable conditions a flow on a torus $C^{(p)}$--close, with $p$ large enough, to a quasi periodic diophantine rotation is shown to be conjugated to the quasi periodic rotation by a map that is analytic in the perturbation size. This result is parallel to Moser's theorem stating conjugability in class $C^{(p')}$ for some $p'<p$. The extra conditions restrict the class of perturbations that are allowed.

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