Quasi linear flows on tori: regularity of their linearization

Details Quasi linear flows on tori: regularity of their linearization Quasi linear flows on tori: regularity of their linearization

1996-06-06

arxiv.org/abs/chao-dyn/9605017v1

Communications in Mathematical Physics, 192, 707--736, 1998

Nonlinear Sciences

Chaotic Dynamics

27 pages

Scientific paper

10.1007/s002200050316

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'

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