Analytic reducibility of resonant cocycles to a normal form
Résumé
We consider systems of quasi periodic linear differential equations associated to a 'resonant' frequency vector ω, that is a vector whose coordinates are not linearly independent over Z. We give sufficient conditions that ensure that a small analytic perturbation of a constant system is analytically conjugate to a 'resonant cocycle'. We also apply our results to the non resonant case : we obtain sufficient conditions for reducibility.
Domaines
Systèmes dynamiques [math.DS]Origine | Fichiers produits par l'(les) auteur(s) |
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