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An optimized Python library for analyzing dynamical systems with recurrence microstates

Authors

Ferreira,  Gabriel Vinicius
External Organizations;

Lopes da Cruz,  Felipe Eduardo
External Organizations;

Marghoti,  Gabriel
External Organizations;

de Lima Prado,  Thiago
External Organizations;

Lopes,  Sergio Roberto
External Organizations;

/persons/resource/Marwan

Marwan,  Norbert       
Potsdam Institute for Climate Impact Research;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Ferreira_2026_s11734-026-02389-6.pdf
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Citation

Ferreira, G. V., Lopes da Cruz, F. E., Marghoti, G., de Lima Prado, T., Lopes, S. R., Marwan, N., Kurths, J. (2026 online): An optimized Python library for analyzing dynamical systems with recurrence microstates. - European Physical Journal - Special Topics.
https://doi.org/10.1140/epjs/s11734-026-02389-6


Cite as: https://publications.pik-potsdam.de/pubman/item/item_35200
Abstract
Recurrence analysis techniques based on recurrence plots (RPs) have become a standard tool for the study of dynamical systems, offering means to quantify nonlinear characteristics from time series and to apply machine-learning methods in their analysis. Among recent developments, recurrence microstates analysis (RMA) is emerging as a complementary approach, enabling the estimation of typical quantifiers from recurrence quantification analysis (RQA) using the microstate distributions, as well as the use of these distributions as input features for machine-learning models. In this work, we introduce a Python library designed to provide the computational efficiency required for the optimized application of RMA techniques. The proposed methodology and performance benchmarks demonstrate a substantial reduction in computation time, making the library sustainable and energy efficient, especially for large-scale data analysis, and aligned with green computing principles.