A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class

Résumé

We give a $C^1$-perturbation technique for ejecting an a priori given finite set of periodic points preserving a given finite set of homo/hetero-clinic intersections from a chain recurrence class of a periodic point. The technique is first stated under a simpler setting called Markov iterated function system, a two dimensional iterated function system in which the compositions are chosen in Markovian way. Then we apply the result to the setting of three dimensional partially hyperbolic diffeomorphisms.

Dates et versions

hal-03793065 , version 1 (30-09-2022)

Identifiants

Citer

Christian Bonatti, Katsutoshi Shinohara. A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. 2022. ⟨hal-03793065⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More