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  Advances on Recurrence Microstates Analyses

Lopes, S. R., da Cruz, F. E. L., Prado, T. L., Kurths, J. (2025): Advances on Recurrence Microstates Analyses. - In: Hirata, Y., Shiro, M., Fukino, M., Webber, C. L., Aihara, K., Marwan, N. (Eds.), - Recurrence Plots and Their Quantifications: Methodological Breakthroughs and Interdisciplinary Discoveries, (Springer Proceedings in Complexity), 10th International Symposium on Recurrence Plots (Tsukuba, Japan 2023), 65-79.
https://doi.org/10.1007/978-3-031-91062-3_4

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_33292 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_33292_2
Genre: Conference Paper

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 Creators:
Lopes, Sergio Roberto1, Author
da Cruz, Felipe Eduardo Lopes1, Author
Prado, Thiago Lima1, Author
Kurths, Jürgen2, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: In this study, we show how concepts of recurrence microstates (RM) can contribute to and optimize recurrence analysis. In particular, we show two topics of theoretical development in the study of recurrences: a statistical approach for the computation of recurrence quantifiers that brings a substantial reduction in computational time, keeping it precision and increasing the capacity to perform recurrence analyses of long time series; in a second topic, we show how an analysis of the structures and symmetries of RMs allows results based on RMs of different sizes to be studied together. The former analysis allows exact results about the distribution of smaller RMs, based on larger RMs, as well as providing the possibility of approximating results based on larger RMs when only the distribution of small RMs is available. As a last topic we perform an application of the symmetries of the RMs to distinguish random and deterministic signals. Along these lines, new symmetries appear when larger RMs are used, allowing, in principle, very subtle distinctions between systems to be analyzed or quantified. This property presents a strong perspective for applications in non-stationary signals and stochastic signals with temporal correlation.

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Language(s): eng - English
 Dates: 2025-07-302025-07-30
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/978-3-031-91062-3_4
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Model / method: Nonlinear Data Analysis
 Degree: -

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Title: 10th International Symposium on Recurrence Plots
Place of Event: Tsukuba, Japan
Start-/End Date: 2023-08-28 - 2023-08-30

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Title: Recurrence Plots and Their Quantifications: Methodological Breakthroughs and Interdisciplinary Discoveries
Source Genre: Proceedings
 Creator(s):
Hirata, Yoshito1, Editor
Shiro, Masanori1, Editor
Fukino, Miwa1, Editor
Webber, Charles L.1, Editor
Aihara, Kazuyuki1, Editor
Marwan, Norbert2, Editor
Affiliations:
1 External Organizations, ou_persistent22            
2 Potsdam Institute for Climate Impact Research, ou_persistent13            
Publ. Info: Cham : Springer Nature
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 65 - 79 Identifier: ISBN: 978-3-031-91061-6
ISBN: 978-3-031-91062-3
DOI: 10.1007/978-3-031-91062-3

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Title: Springer Proceedings in Complexity
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -