TY - JOUR

T1 - Four Methods to Distinguish between Fractal Dimensions in Time Series through Recurrence Quantification Analysis

AU - Tomashin, Alon

AU - Leonardi, Giuseppe

AU - Wallot, Sebastian

N1 - Funding Information: We thank Stine Hollah and Gerke Feindt for collecting the timing data presented in this manuscript. S.W. acknowledges funding by the German Research Foundation (DFG; grant numbers 442405852 and 442405919). Publisher Copyright: © 2022 by the authors.

PY - 2022/9/19

Y1 - 2022/9/19

N2 - Fractal properties in time series of human behavior and physiology are quite ubiquitous, and several methods to capture such properties have been proposed in the past decades. Fractal properties are marked by similarities in statistical characteristics over time and space, and it has been suggested that such properties can be well-captured through recurrence quantification analysis. However, no methods to capture fractal fluctuations by means of recurrence-based methods have been developed yet. The present paper takes this suggestion as a point of departure to propose and test several approaches to quantifying fractal fluctuations in synthetic and empirical time-series data using recurrence-based analysis. We show that such measures can be extracted based on recurrence plots, and contrast the different approaches in terms of their accuracy and range of applicability.

AB - Fractal properties in time series of human behavior and physiology are quite ubiquitous, and several methods to capture such properties have been proposed in the past decades. Fractal properties are marked by similarities in statistical characteristics over time and space, and it has been suggested that such properties can be well-captured through recurrence quantification analysis. However, no methods to capture fractal fluctuations by means of recurrence-based methods have been developed yet. The present paper takes this suggestion as a point of departure to propose and test several approaches to quantifying fractal fluctuations in synthetic and empirical time-series data using recurrence-based analysis. We show that such measures can be extracted based on recurrence plots, and contrast the different approaches in terms of their accuracy and range of applicability.

KW - recurrence quantification analysis

KW - fractals

KW - monofractals

KW - fractal time series

KW - Engineering

UR - http://www.scopus.com/inward/record.url?scp=85138533582&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/340dc8d2-a554-32f0-aad7-92617c59b301/

U2 - 10.3390/e24091314

DO - 10.3390/e24091314

M3 - Journal articles

C2 - 36141200

VL - 24

JO - Entropy

JF - Entropy

SN - 1099-4300

IS - 9

M1 - 1314

ER -