Complexity from ordinal pattern positioned slopes (COPPS)

Eyebe Fouda, Jean Sire Armand; Koepf, Wolfram; Marwan, Norbert; Kurths, Jürgen; Penzel, Thomas

doi:10.1016/j.chaos.2024.114708

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Complexity from ordinal pattern positioned slopes (COPPS)

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Eyebe Fouda, Jean Sire Armand
External Organizations;

Koepf, Wolfram
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/persons/resource/Marwan

Marwan, Norbert
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

Penzel, Thomas
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Zitation

Eyebe Fouda, J. S. A., Koepf, W., Marwan, N., Kurths, J., Penzel, T. (2024): Complexity from ordinal pattern positioned slopes (COPPS). - Chaos, Solitons and Fractals, 181, 114708.
https://doi.org/10.1016/j.chaos.2024.114708

Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_29753

Zusammenfassung

Measuring complexity allows to characterize complex systems. Existing techniques are limited to simultaneously measure complexity from short length data sets, detect transitions and periodic dynamics. This paper presents an approach based on ordinal pattern positioned slopes (OPPS). It considers exclusively OPPS group occurrences to compute the complexity from OPPS (COPPS) as the average number of patterns and applies to short data series. The COPPS measure was successfully applied to simulation data for measuring complexity, detecting transition phases and regular dynamics, distinguishing between chaotic and stochastic dynamics; and to real-world data for detecting arrhythmia ECG beats.