Ordinal time series analysis is based on the idea to map time series to ordinal patterns, i.e., order relations between the values of a time series and not the values themselves, as introduced in 2002 by C. Bandt and B. Pompe. Despite a resulting loss of information, this approach captures meaningful information about the temporal structure of the underlying system dynamics as well as about properties of interactions between coupled systems. This—together with its conceptual simplicity and robustness against measurement noise—makes ordinal time series analysis well suited to improve characterization of the still poorly understood spatiotemporal dynamics of the human brain. This minireview briefly summarizes the state-of-the-art of uni- and bivariate ordinal time-series-analysis techniques together with applications in the neurosciences. It will highlight current limitations to stimulate further developments, which would be necessary to advance characterization of evolving functional brain networks.
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Ordinal methods for a characterization of evolving functional brain networks
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February 2023
Review Article|
February 02 2023
Ordinal methods for a characterization of evolving functional brain networks
Special Collection:
Ordinal Methods: Concepts, Applications, New Developments and Challenges
Klaus Lehnertz
Klaus Lehnertz
a)
(Conceptualization, Visualization, Writing – original draft, Writing – review & editing)
Department of Epileptology, University of Bonn Medical Centre, Venusberg Campus 1, 53127 Bonn, Germany; Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14–16, 53115 Bonn, Germany; and Interdisciplinary Center for Complex Systems, University of Bonn, Brühler Straße 7, 53175 Bonn, Germany
a)Author to whom correspondence should be addressed: klaus.lehnertz@ukbonn.de
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a)Author to whom correspondence should be addressed: klaus.lehnertz@ukbonn.de
Note: This paper is part of the Focus Issue on Ordinal Methods: Concepts, Applications, New Developments and Challenges.
Chaos 33, 022101 (2023)
Article history
Received:
November 24 2022
Accepted:
January 06 2023
Citation
Klaus Lehnertz; Ordinal methods for a characterization of evolving functional brain networks. Chaos 1 February 2023; 33 (2): 022101. https://doi.org/10.1063/5.0136181
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