https://doi.org/10.1140/epjs/s11734-022-00686-4
Regular Article
Averaged recurrence quantification analysis
Method omitting the recurrence threshold choice
1
Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám.13, 74601, Opava, Czech Republic
2
Oxford e-Research Centre, Department of Engineering Science, University of Oxford, 7 Keble Rd, Oxford, OX1 3QG, UK
3
Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association, 14412, Potsdam, Germany
Received:
23
May
2022
Accepted:
27
September
2022
Published online:
21
October
2022
Recurrence quantification analysis (RQA) is a well established method of nonlinear data analysis. In this work, we present a new strategy for an almost parameter-free RQA. The approach finally omits the choice of the threshold parameter by calculating the RQA measures for a range of thresholds (in fact recurrence rates). Specifically, we test the ability of the RQA measure determinism, to sort data with respect to their signal to noise ratios. We consider a periodic signal, simple chaotic logistic equation, and Lorenz system in the tested data set with different and even very small signal-to-noise ratios of lengths 
and 
. To make the calculations possible, a new effective algorithm was developed for streamlining of the numerical operations on graphics processing unit (GPU).
Trends in Recurrence Analysis of Dynamical Systems. Guest editors: Norbert Marwan, Charles Webber Jr., Andrzej Rysak.
© The Author(s) 2022
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