Averaged recurrence quantification analysis: Method omitting the recurrence threshold choice
dc.bibliographicCitation.date | 2023 | |
dc.bibliographicCitation.firstPage | 47 | |
dc.bibliographicCitation.journalTitle | The European Physical Journal Special Topics | eng |
dc.bibliographicCitation.lastPage | 56 | |
dc.bibliographicCitation.volume | 232 | |
dc.contributor.author | Pánis, Radim | |
dc.contributor.author | Adámek, Karel | |
dc.contributor.author | Marwan, Norbert | |
dc.date.accessioned | 2023-02-13T09:38:05Z | |
dc.date.available | 2023-02-13T09:38:05Z | |
dc.date.issued | 2022 | |
dc.description.abstract | 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). | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/11443 | |
dc.identifier.uri | http://dx.doi.org/10.34657/10477 | |
dc.language.iso | eng | |
dc.publisher | Berlin ; Heidelberg : Springer | |
dc.relation.doi | https://doi.org/10.1140/epjs/s11734-022-00686-4 | |
dc.relation.essn | 1951-6401 | |
dc.relation.issn | 1951-6355 | |
dc.rights.license | CC BY 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | |
dc.subject.ddc | 530 | |
dc.subject.other | noise | eng |
dc.subject.other | plots | eng |
dc.title | Averaged recurrence quantification analysis: Method omitting the recurrence threshold choice | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | |
wgl.contributor | PIK | |
wgl.subject | Physik | ger |
wgl.type | Zeitschriftenartikel | ger |
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