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Quasi Linear Flows on Tori: Regularity of their Linearization (1998)
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by
F. Bonetto
,
G. Gallavotti
,
G. Gentile
,
V. Mastropietro
| Venue: | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
| Citations: | 11 - 7 self |
BibTeX
@MISC{Bonetto98quasilinear,
author = {F. Bonetto and G. Gallavotti and G. Gentile and V. Mastropietro},
title = {Quasi Linear Flows on Tori: Regularity of their Linearization},
year = {1998}
}
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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 “linearizable”, i.e. 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.
