Recurrence plots 25 years later -Gaining confidence in dynamical transitions

  • Recurrence-plot-based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. However, most studies do not discuss the significance of the detected variations in the recurrence quantification measures. In this letter we propose a novel method to add a confidence measure to the recurrence quantification analysis. We show how this approach can be used to study significant changes in dynamical systems due to a change in control parameters, chaos-order as well as chaos-chaos transitions. Finally we study and discuss climate transitions by analysing a marine proxy record for past sea surface temperature. This paper is dedicated to the 25th anniversary of the introduction of recurrence plots.

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Metadaten
Author:Norbert Marwan, Stefan Schinkel, Jürgen KurthsORCiDGND
DOI:https://doi.org/10.1209/0295-5075/101/20007
ISSN:0295-5075 (print)
Parent Title (English):epl : a letters journal exploring the frontiers of physics
Publisher:EDP Sciences
Place of publication:Mulhouse
Document Type:Article
Language:English
Year of first Publication:2013
Year of Completion:2013
Release Date:2017/03/26
Volume:101
Issue:2
Pagenumber:6
Funder:Potsdam Research Cluster for Georisk Analysis, Environmental Change and Sustainability (PROGRESS, BMBF) [03IS2191B]; DFG research groups [FOR 1380, FOR 868]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert