Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface

Résumé

We show the coexistence of chaotic behaviors (positive metric entropy) and elliptic behaviors (intregrable KAM island) among analytic, symplectic diffeomorphism of any closed surface. In particilar this solves a problem by F. Przytycki (1982). Theorem A (Main result). For every analytic and closed, oriented surface (S, Leb), there exists a symplectic analytic map f ∈ Diff^ω_Leb (S) of any isotopy class, such that:
Fichier principal
Vignette du fichier
6Sauterns_corrections4.pdf (1.68 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03225818 , version 1 (13-05-2021)
hal-03225818 , version 2 (06-04-2022)

Identifiants

Citer

Pierre Berger. Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface. 2022. ⟨hal-03225818v2⟩
37 Consultations
44 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More