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  Recurrence-Based Characterization of Stickiness in Hamiltonian Systems

Viana, R. L., Souza, L. C., Sales, M. R., Mugnaine, M., Szezech, J. D., Caldas, I. L., Marwan, N., Kurths, J. (2025): Recurrence-Based Characterization of Stickiness in Hamiltonian Systems. - 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), 95-108.
https://doi.org/10.1007/978-3-031-91062-3_6

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_33280 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_33280_1
Genre: Conference Paper

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 Creators:
Viana, R. L.1, Author
Souza, L. C.1, Author
Sales, M. R.1, Author
Mugnaine, M.1, Author
Szezech, J. D.1, Author
Caldas, I. L.1, Author
Marwan, Norbert2, Author                 
Kurths, Jürgen2, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: In quasi-integrable Hamiltonian systems, certain chaotic orbits become trapped around periodic islands for extended periods before escaping to the chaotic sea, a phenomenon known as stickiness. In fusion plasmas, the stickiness effect manifests in the prolonged trapping of magnetic field lines in a specific region for many toroidal turns, influencing plasma transport. We apply here a novel concept based on recurrence plots, revealing the existence of a hierarchical structure of islands around islands where chaotic orbits become trapped. This analysis is conducted for a Hamiltonian system describing the magnetic field lines in a Tokamak. Furthermore, utilizing this quantifier, we can distinguish between different levels of this structure and compute the cumulative distribution of trapping times.

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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_6
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Working Group: Development of advanced time series analysis techniques
Research topic keyword: Nonlinear Dynamics
Model / method: Nonlinear Data Analysis
Model / method: Quantitative Methods
 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: 95 - 108 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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Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -