2023
Averaged recurrence quantification analysis Method omitting the recurrence threshold choice
PÁNIS, Radim; Karel ADÁMEK and Norbert MARWANBasic information
Original name
Averaged recurrence quantification analysis Method omitting the recurrence threshold choice
Authors
PÁNIS, Radim (703 Slovakia, belonging to the institution); Karel ADÁMEK (203 Czech Republic, belonging to the institution) and Norbert MARWAN
Edition
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2023, 1951-6355
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10300 1.3 Physical sciences
Country of publisher
Germany
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 2.600
RIV identification code
RIV/47813059:19630/23:A0000303
Organization unit
Institute of physics in Opava
UT WoS
000870928800003
EID Scopus
2-s2.0-85140391904
Keywords in English
Recurrence quantification analysis; signal to noise ratio; determinism; threshold choice; Lorenz system; Logistic map; graphics processing unit
Tags
Tags
International impact, Reviewed
Links
EF18_053/0017871, research and development project.
Changed: 26/2/2024 12:43, Mgr. Pavlína Jalůvková
Abstract
In the original language
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 10(2), 10(3), 10(4), and 10(5). To make the calculations possible, a new effective algorithm was developed for streamlining of the numerical operations on graphics processing unit (GPU).