English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Recurrence Quantification Analysis (RQA) defines a number of quantifiers,which base upon diagonal line structures in the recurrence plot (RP). Due tothe finite size of an RP, these lines can be cut by the borders of the RP and,thus, bias the length distribution of diagonal lines and, consequently, theline based RQA measures. In this letter we investigate the impact of thementioned border effects and of the thickening of diagonal lines in an RP(caused by tangential motion) on the estimation of the diagonal line lengthdistribution, quantified by its entropy. Although a relation to the Lyapunovspectrum is theoretically expected, the mentioned entropy yields contradictoryresults in many studies. Here we summarize correction schemes for both, theborder effects and the tangential motion and systematically compare them tomethods from the literature. We show that these corrections lead to theexpected behavior of the diagonal line length entropy, in particular meaningzero values in case of a regular motion and positive values for chaotic motion.Moreover, we test these methods under noisy conditions, in order to supplypractical tools for applied statistical research.

Border effect corrections for diagonal line based recurrence quantification analysis measures