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 ``linearizable'', \ie conjugable 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
Quasi linear flows on tori: regularity of their linearization / Bonetto, F.; Gallavotti, Giovanni; Gentile, G.; Mastropietro, V.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 192:(1998), pp. 707-736. [10.1007/s002200050316]
Quasi linear flows on tori: regularity of their linearization
GALLAVOTTI, Giovanni;MASTROPIETRO V.
1998
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 ``linearizable'', \ie conjugable 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'I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
