On
Lorenz map
completely invariant set
entropy
limit set
renormalizable map
Journal
Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874
Informations de publication
Date de publication:
02 Sep 2021
02 Sep 2021
Historique:
received:
04
07
2021
revised:
23
08
2021
accepted:
24
08
2021
entrez:
28
9
2021
pubmed:
29
9
2021
medline:
29
9
2021
Statut:
epublish
Résumé
The aim of this paper is to show that α-limit sets in Lorenz maps do not have to be completely invariant. This highlights unexpected dynamical behavior in these maps, showing gaps existing in the literature. Similar result is obtained for unimodal maps on [0,1]. On the basis of provided examples, we also present how the performed study on the structure of α-limit sets is closely connected with the calculation of the topological entropy.
Identifiants
pubmed: 34573778
pii: e23091153
doi: 10.3390/e23091153
pmc: PMC8469790
pii:
doi:
Types de publication
Journal Article
Langues
eng
Subventions
Organisme : Narodowe Centrum Nauki
ID : 2019/35/B/ST1/02239