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  An optimized Python library for analyzing dynamical systems with recurrence microstates

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

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Ferreira_2026_s11734-026-02389-6.pdf (Publisher version), 3MB
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 Creators:
Ferreira, Gabriel Vinicius1, Author
Lopes da Cruz, Felipe Eduardo1, Author
Marghoti, Gabriel1, Author
de Lima Prado, Thiago1, Author
Lopes, Sergio Roberto1, Author
Marwan, Norbert2, Author                 
Kurths, Jürgen2, Author           
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1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 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.

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Language(s): eng - English
 Dates: 2026-06-03
 Publication Status: Published online
 Pages: 15
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1140/epjs/s11734-026-02389-6
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Nonlinear Dynamics
Working Group: Time Series Analysis
Model / method: Nonlinear Data Analysis
OATYPE: Hybrid Open Access
 Degree: -

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Title: European Physical Journal - Special Topics
Source Genre: Journal, SCI, Scopus
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: Publisher: Springer
CoNE: https://publications.pik-potsdam.de/cone/journals/resource/150617