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  Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: A Lagrangian flow network perspective

Lindner, M., Donner, R. V. (2017): Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: A Lagrangian flow network perspective. - Chaos, 27, 35806.
https://doi.org/10.1063/1.4975126

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Lindner, Michael1, Author              
Donner, Reik V.1, Author              
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1Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: We study the Lagrangian dynamics of passive tracers in a simple model of a driven two-dimensional vortex resembling real-world geophysical flow patterns. Using a discrete approximation of the system's transfer operator, we construct a directed network that describes the exchange of mass between distinct regions of the flow domain. By studying different measures characterizing flow network connectivity at different time-scales, we are able to identify the location of dynamically invariant structures and regions of maximum dispersion. Specifically, our approach allows us to delimit co-existing flow regimes with different dynamics. To validate our findings, we compare several network characteristics to the well-established finite-time Lyapunov exponents and apply a receiver operating characteristic analysis to identify network measures that are particularly useful for unveiling the skeleton of Lagrangian chaos.

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 Dates: 2017
 Publication Status: Finally published
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 Identifiers: DOI: 10.1063/1.4975126
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 7948
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Organisational keyword: RD4 - Complexity Science
Working Group: Development of advanced time series analysis techniques
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Title: Chaos
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 27 Sequence Number: 35806 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/180808