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Ordinal Patterns-Based Tools and Their Applications

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Multidisciplinary Applications".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 750

Special Issue Editor


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Guest Editor
Centro de Investigaciones Ópticas (CONICET La Plata—CIC—UNLP), La Plata, Buenos Aires, Argentina
Interests: time series analysis; nonlinear dynamics; complex systems; data analysis; permutation entropy; ordinal patterns; chaos; long-range correlations; fractality; multifractality
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Special Issue Information

Dear Colleagues,

It is clear that in the current era of Big Data, there is a growing interest in finding efficient and reliable methods to deal with the concomitant data deluge. Simplicity, low computational cost, wide applicability, and less susceptibility to outliers and artifacts are highly valued properties for these tools. Ordinal symbolic quantifiers satisfy all these requirements and, consequently, they seem to be particularly suited to meet the challenge. Actually, even when their utility within this context has already been largely proven, there is room for more progress. In this Special Issue, novel ordinal pattern-based tools and/or strategies that help to support this claim are sought after. This also includes the possibility of combining them with algorithms and techniques from other fields, such as machine learning, in order to enhance their performance. Furthermore, successful interdisciplinary implementations that illustrate their potential in real-world applications are also greatly welcomed.

The characterization of time series from complex systems, the identification of intrinsic temporal scales, discrimination between stochastic and chaotic dynamics, time series classification, time series segmentation, and time series irreversibility, by using ordinal pattern-based tools, are just some of the topics of interest for this Special Issue. Original works and comprehensive reviews from both theoretical and applied perspectives will also be considered. Researchers and practitioners in the field are encouraged to make their contributions.

Dr. Luciano Zunino
Guest Editor

Manuscript Submission Information

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Keywords

  • permutation entropy
  • multiscale permutation entropy
  • ordinal pattern-based quantifiers
  • multiscale ordinal pattern-based quantifiers
  • interdisciplinary applications
  • complexity measures
  • classification and discrimination tasks
  • multivariate time series analysis
  • ordinal pattern-based methodologies and machine learning
  • ordinal symbolic mapping

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Published Papers (1 paper)

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Research

13 pages, 4232 KiB  
Article
Universality of Dynamical Symmetries in Chaotic Maps
by Marcos Acero, Sean Lyons, Andrés Aragoneses and Arjendu K. Pattanayak
Entropy 2024, 26(11), 969; https://doi.org/10.3390/e26110969 - 12 Nov 2024
Viewed by 478
Abstract
Identifying signs of regularity and uncovering dynamical symmetries in complex and chaotic systems is crucial both for practical applications and for enhancing our understanding of complex dynamics. Recent approaches have quantified temporal correlations in time series, revealing hidden, approximate dynamical symmetries that provide [...] Read more.
Identifying signs of regularity and uncovering dynamical symmetries in complex and chaotic systems is crucial both for practical applications and for enhancing our understanding of complex dynamics. Recent approaches have quantified temporal correlations in time series, revealing hidden, approximate dynamical symmetries that provide insight into the systems under study. In this paper, we explore universality patterns in the dynamics of chaotic maps using combinations of complexity quantifiers. We also apply a recently introduced technique that projects dynamical symmetries into a “symmetry space”, providing an intuitive and visual depiction of these symmetries. Our approach unifies and extends previous results and, more importantly, offers a meaningful interpretation of universality by linking it with dynamical symmetries and their transitions. Full article
(This article belongs to the Special Issue Ordinal Patterns-Based Tools and Their Applications)
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