The reliability of recurrence network analysis is influenced by the observability properties of the recorded time series.


Journal

Chaos (Woodbury, N.Y.)
ISSN: 1089-7682
Titre abrégé: Chaos
Pays: United States
ID NLM: 100971574

Informations de publication

Date de publication:
Aug 2019
Historique:
entrez: 2 9 2019
pubmed: 2 9 2019
medline: 2 9 2019
Statut: ppublish

Résumé

Recurrence network analysis (RNA) is a remarkable technique for the detection of dynamical transitions in experimental applications. However, in practical experiments, often only a scalar time series is recorded. This requires the state-space reconstruction from this single time series which, as established by embedding and observability theory, is shown to be hampered if the recorded variable conveys poor observability. In this work, we investigate how RNA metrics are impacted by the observability properties of the recorded time series. Following the framework of Zou et al. [Chaos 20, 043130 (2010)], we use the Rössler and Duffing-Ueda systems as benchmark models for our study. It is shown that usually RNA metrics perform badly with variables of poor observability as for recurrence quantification analysis. An exception is the clustering coefficient, which is rather robust to observability issues. Along with its efficacy to detect dynamical transitions, it is shown to be an efficient tool for RNA-especially when no prior information of the variable observability is available.

Identifiants

pubmed: 31472506
doi: 10.1063/1.5093197
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

083101

Auteurs

Leonardo L Portes (LL)

Complex Systems Group, Department of Mathematics and Statistics, University of Western Australia, Nedlands, Perth, WA 6009, Australia.

Arthur N Montanari (AN)

Graduate Program in Electrical Engineering, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 31.270-901 Belo Horizonte MG, Brazil.

Debora C Correa (DC)

Complex Systems Group, Department of Mathematics and Statistics, University of Western Australia, Nedlands, Perth, WA 6009, Australia.

Michael Small (M)

Complex Systems Group, Department of Mathematics and Statistics, University of Western Australia, Nedlands, Perth, WA 6009, Australia.

Luis A Aguirre (LA)

Departamento de Engenharia Eletrônica, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 31.270-901 Belo Horizonte, MG, Brazil.

Classifications MeSH