A comparison of topological entropies for nonautonomous dynamical systems

We study the distance entropy, Bowen topological entropy, and the classical topological entropy of nonautonomous dynamical systems. We show, in particular, that the distance entropy, Bowen entropy, Pesin entropy and the classical entropy are equivalent when the system is weakly mixing. Furthermore,...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2023-01, Vol.517 (2), p.126627, Article 126627
Main Authors: Li, Chang-Bing, Ye, Yuan-Ling
Format: Article
Language:English
Subjects:
Bowen topological entropy
Distance entropy
Equicontinuous
Hausdorff dimension
Nonautonomous dynamical systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the distance entropy, Bowen topological entropy, and the classical topological entropy of nonautonomous dynamical systems. We show, in particular, that the distance entropy, Bowen entropy, Pesin entropy and the classical entropy are equivalent when the system is weakly mixing. Furthermore, we investigate the relationship between distance entropy and Hausdorff dimension on subsets from several aspects in detail.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126627