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

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

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.
OriginalspracheEnglisch
Aufsatznummer1314
ZeitschriftEntropy
Jahrgang24
Ausgabenummer9
Anzahl der Seiten14
ISSN1099-4300
DOIs
PublikationsstatusErschienen - 19.09.2022

Bibliographische Notiz

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.

Dokumente

DOI

Zuletzt angesehen

Forschende

  1. Neele Puhlmann

Publikationen

  1. A Class of Simple Stochastic Online Bin Packing Algorithms
  2. Hierarchical trait filtering at different spatial scales determines beetle assemblages in deadwood
  3. ActiveMath - a Learning Platform With Semantic Web Features
  4. A Playful Approach to Interactive Media in the Foreign Language Classroom
  5. Taking the pulse of Earth's tropical forests using networks of highly distributed plots
  6. Reciprocal Relationships Between Dispositional Optimism and Work Experiences
  7. A Lean Convolutional Neural Network for Vehicle Classification
  8. An analytical approach to evaluating nonmonotonic functions of fuzzy numbers
  9. NNARX networks on didactic level system identification
  10. Preventive Diagnostics for cardiovascular diseases based on probabilistic methods and description logic
  11. The model of educational reconstruction: A framework for the design of theory-based content specific interventions
  12. A cascade controller structure using an internal PID controller for a hybrid piezo-hydraulic actuator in camless internal combustion engines
  13. Computing regression statistics from grouped data
  14. The impact of explicit references in computer supported collaborative learning: Evidence from eye movement analyses
  15. Model Based Logistic Monitoring of Assembly Areas
  16. Hybrid models for future event prediction
  17. Reducing mean tardiness in a flexible job shop containing AGVs with optimized combinations of sequencing and routing rules
  18. Combined MRI-PET dissects dynamic changes in plant structures and functions
  19. Comparative study on the dehydrogenation properties of TiCl4-doped LiAlH4 using different doping techniques
  20. Excellence in Teaching and Learning
  21. Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry
  22. Contrasting patterns of intraspecific trait variability in native and non-native plant species along an elevational gradient on Tenerife, Canary Islands
  23. Modeling Converging Material Flows In The Supply Chain
  24. A Note on Pensions and Firm Performance
  25. Some results on output algebraic feedback with applications to mechanical systems
  26. Linking large-scale and small-scale distribution patterns of steppe plant species—An example using fourth-corner analysis
  27. Logic
  28. Papers from the 10th Lancaster University Postgraduate Conference in Linguistics and Language Teaching 2015
  29. Enhancement of workability in AZ31 alloy - Processing maps