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  Detection of dynamical regime transitions with lacunarity as a multiscale recurrence quantification measure

Braun, T., Unni, V., Sujith, R., Kurths, J., Marwan, N. (2021): Detection of dynamical regime transitions with lacunarity as a multiscale recurrence quantification measure. - Nonlinear Dynamics, 104, 4, 3955-3973.
https://doi.org/10.1007/s11071-021-06457-5

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_25379 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_25379_2
Genre: Journal Article

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 Creators:
Braun, Tobias1, Author              
Unni, Vishnu2, Author
Sujith, R.I.2, Author
Kurths, Jürgen1, Author              
Marwan, Norbert1, Author              
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1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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Free keywords: Recurrence Plots; Regime Shifts; Lacunarity; Nonlinear time series; Thermoacoustic Instability
 Abstract: We propose lacunarity as a novel recurrence quantification measure and illustrate its efficacy to detect dynamical regime transitions which are exhibited by many complex real-world systems. We carry out a recurrence plot based analysis for different paradigmatic systems and nonlinear empirical data in order to demonstrate the ability of our method to detect dynamical transitions ranging across different temporal scales. It succeeds to distinguish states of varying dynamical complexity in the presence of noise and nonstationarity, even when the time series is of short length. In contrast to traditional recurrence quantifiers, no specification of minimal line lengths is required and rather geometric features beyond linear structures in the recurrence plot can be accounted for. This makes lacunarity more broadly applicable as a recurrence quantification measure. Lacunarity is usually interpreted as a measure of heterogeneity or translational invariance of an arbitrary spatial pattern. In application to recurrence plots, it quantifies the degree of heterogenity in the temporal recurrence patterns at all relevant time scales. We demonstrate the potential of the proposed method when applied to empirical data, namely time series of acoustic pressure fluctuations from a turbulent combustor. Recurrence lacunarity captures both the rich variability in dynamical complexity of acoustic pressure fluctuations and shifting time scales encoded in the recurrence plots. Furthermore, it contributes to a better distinction between stable operation and near blowout states of combustors.

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 Dates: 2021-04-102021-04-272021-06-15
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: MDB-ID: yes - 3192
DOI: 10.1007/s11071-021-06457-5
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Nonlinear Dynamics
Research topic keyword: Tipping Elements
Research topic keyword: Climate impacts
Model / method: Nonlinear Data Analysis
OATYPE: Hybrid - DEAL Springer Nature
 Degree: -

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Title: Nonlinear Dynamics
Source Genre: Journal, SCI, Scopus
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Pages: - Volume / Issue: 104 (4) Sequence Number: - Start / End Page: 3955 - 3973 Identifier: Other: 1573-269X
ISSN: 0924-090X
CoNE: https://publications.pik-potsdam.de/cone/journals/resource/nonlinear-dynamics
Publisher: Springer