Topological entropy bounds multiscale entropy

Topological entropy bounds multiscale entropy

In this paper, we introduce the notion of topological entropy of a discrete dynamical system given by a continuous map f:X→X, where X is metric and compact, with respect to observations of its orbits given by a continuous map φ:X→Rk. We apply our definitions to obtain an upper bound of multiscale en...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Topology and its applications 2023-10, Vol.338, p.108647, Article 108647
1. Verfasser: Cánovas, Jose S.
Format: Artikel
Sprache:eng
Schlagworte:
Ergodic means
Multiscale entropy
Topological entropy
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we introduce the notion of topological entropy of a discrete dynamical system given by a continuous map f:X→X, where X is metric and compact, with respect to observations of its orbits given by a continuous map φ:X→Rk. We apply our definitions to obtain an upper bound of multiscale entropy, which has been used in time series analysis.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2023.108647