Pré-Publication, Document De Travail Année : 2025

Robust complex heterodimensional cycles

Résumé

A diffeomorphism f has a heterodimensional cycle if it displays two (transitive) hyperbolic sets K and K' with different indices such that the unstable set of K intersects the stable one of K' and vice versa. We prove that it is possible to find robust heterodimensional cycles for families of polynomial automorphisms of C^3 . The proof is based on Bonatti-Díaz blenders.
Fichier principal
Vignette du fichier
cycles-C3.pdf (214.71 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04884945 , version 1 (13-01-2025)

Identifiants

  • HAL Id : hal-04884945 , version 1

Citer

Sébastien Biebler. Robust complex heterodimensional cycles. 2025. ⟨hal-04884945⟩
0 Consultations
0 Téléchargements

Partager

More