TOPOLOGICAL SYNCHRONISATION OR A SIMPLE ATTRACTOR? - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Nonlinearity Année : 2023

TOPOLOGICAL SYNCHRONISATION OR A SIMPLE ATTRACTOR?

Théophile Caby
  • Fonction : Auteur
  • PersonId : 1031483
Michele Gianfelice
  • Fonction : Auteur
Benoît Saussol

Résumé

A few recent papers introduced the concept of topological synchronisation. We refer in particular to [11], where the theory was illustrated by means of a skew product system, coupling two logistic maps. In this case, we show that the topological synchronisation could be easily explained as the birth of an attractor for increasing values of the coupling strength and the mutual convergence of two marginal empirical measures. Numerical computations based on a careful analysis of the Lyapunov exponents suggest that the attractor supports an absolutely continuous physical measure (acpm). We finally show that for some unimodal maps such acpm exhibit a multifractal structure.
Fichier principal
Vignette du fichier
topsynch.pdf (624.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03726803 , version 1 (18-07-2022)

Identifiants

Citer

Théophile Caby, Michele Gianfelice, Benoît Saussol, Sandro Vaienti. TOPOLOGICAL SYNCHRONISATION OR A SIMPLE ATTRACTOR?. Nonlinearity, In press, 36, pp.3603. ⟨10.1088/1361-6544/acd42f⟩. ⟨hal-03726803⟩
39 Consultations
107 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More