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Pré-Publication, Document De Travail Année : 2021

Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity

Maria Saprykina
  • Fonction : Auteur

Résumé

Any $C^d$ conservative map $f$ of the $d$-dimensional unit ball $\mathbb B^d$ can be realized by renormalized iteration of a $C^d$ perturbation of identity: there exists a conservative diffeomorphism of $\mathbb B^d$, arbitrarily close to identity in the $C^d$ topology, that has a periodic disc on which the return dynamics after a $C^d$ change of coordinates is exactly $f$.

Dates et versions

hal-03456712 , version 1 (30-11-2021)

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Bassam Fayad, Maria Saprykina. Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity. 2021. ⟨hal-03456712⟩
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