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Complexity from ordinal pattern positioned slopes (COPPS)

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

Abstract

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.

Suggested Citation

  • Eyebe Fouda, Jean Sire Armand & Koepf, Wolfram & Marwan, Norbert & Kurths, Jürgen & Penzel, Thomas, 2024. "Complexity from ordinal pattern positioned slopes (COPPS)," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002601
    DOI: 10.1016/j.chaos.2024.114708
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    References listed on IDEAS

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    1. Carpi, Laura C. & Saco, Patricia M. & Rosso, O.A., 2010. "Missing ordinal patterns in correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2020-2029.
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