S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps - Institut de Mathématiques de Marseille 2014- Accéder directement au contenu
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2023

S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps

Jozef Bobok
  • Fonction : Auteur
Jernej Činč
  • Fonction : Auteur
Piotr Oprocha
  • Fonction : Auteur

Résumé

In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular, this implies that classical shadowing, periodic shadowing and limit shadowing are generic in these two settings as well.

Dates et versions

hal-03195670 , version 1 (12-04-2021)

Identifiants

Citer

Jozef Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy. S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps. Ergodic Theory and Dynamical Systems, 2023, 43 (1), pp.78-98. ⟨10.1017/etds.2021.112⟩. ⟨hal-03195670⟩
41 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More