Research Topic

Recurrence Analysis of Complex Systems Dynamics

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About this Research Topic

In the last three decades, the recurrence plot (RP) and its quantification (RQA) have become important research tools in the analysis of short, noisy and non-stationary data. Theoretical work on RPs has reached considerable maturity, and the method's popularity in recent years continues to increase due to a ...

In the last three decades, the recurrence plot (RP) and its quantification (RQA) have become important research tools in the analysis of short, noisy and non-stationary data. Theoretical work on RPs has reached considerable maturity, and the method's popularity in recent years continues to increase due to a large number of practical RP/RQA applications in diverse areas such as physiology, astrophysics, biochemistry, finance, climate/paleoclimate, to name a few. Among the new developments are the detection of metastable states through recurrence grammars, recurrence networks of spatial data, entropy assessments using microstates, fuzzy recurrence plots, or inferential statistics derived from RPs.

This Research Topic aims to present advances and applications of the recurrence methodologies for analyzing complex systems in multidisciplinary fields.

We encourage contributions covering methodological introduction, theoretical aspects, new applications and developments that require a complex systems approach using recurrence analysis.

Topic Image Caption: "Detectability of metastable states in a heteroclinic contour depending on the recurrence plot threshold parameter. The figure shows time series segmented through the recurrence grammar algorithm."
Used with authors' permission, from:
- beim Graben, P. & Hutt, A. (2013). Detecting recurrence domains of dynamical systems by symbolic dynamics. Physical Review Letters, 110, 154101.
- beim Graben, P. & Hutt, A. (2015). Detecting event-related recurrences by symbolic analysis: Applications to human language processing. Philosophical Transactions of the Royal Society London, A373, 20140089.


Keywords: Recurrence Plots, Dynamical Systems, Time Series, Recurrence Quantification Analysis, Complexity


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