Circle Diffeomorphisms: Quasi-reducibility and Commuting Diffeomorphisms
Résumé
We show two related results on circle diffeomorphisms. The first result is on quasi-reducibility: for a Baire-dense set of $\alpha$, for any diffeomorphism $f$ of rotation number $\alpha$, it is possible to accumulate $R_\alpha$ with a sequence $h_n f h_n^{-1}$, $h_n$ being a diffeomorphism. The second result is: for a Baire-dense set of $\alpha$, given two commuting diffeomorphisms $f$ and $g$, such that $f$ has $\alpha$ for rotation number, it is possible to approach each of them by commuting diffeomorphisms $f_n$ and $g_n$ that are differentiably conjugated to rotations.
Domaines
Systèmes dynamiques [math.DS]Origine | Fichiers produits par l'(les) auteur(s) |
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