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Networks from Flows - From Dynamics to Topology
Complex network approaches have recently been applied to continuous spatial dynamical systems, like climate, successfully uncovering the system's interaction structure. However the relationship between the underlying atmospheric or oceanic flow's dynamics and the estimated network measures...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3927207/ https://www.ncbi.nlm.nih.gov/pubmed/24535026 http://dx.doi.org/10.1038/srep04119 |
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author | Molkenthin, Nora Rehfeld, Kira Marwan, Norbert Kurths, Jürgen |
author_facet | Molkenthin, Nora Rehfeld, Kira Marwan, Norbert Kurths, Jürgen |
author_sort | Molkenthin, Nora |
collection | PubMed |
description | Complex network approaches have recently been applied to continuous spatial dynamical systems, like climate, successfully uncovering the system's interaction structure. However the relationship between the underlying atmospheric or oceanic flow's dynamics and the estimated network measures have remained largely unclear. We bridge this crucial gap in a bottom-up approach and define a continuous analytical analogue of Pearson correlation networks for advection-diffusion dynamics on a background flow. Analysing complex networks of prototypical flows and from time series data of the equatorial Pacific, we find that our analytical model reproduces the most salient features of these networks and thus provides a general foundation of climate networks. The relationships we obtain between velocity field and network measures show that line-like structures of high betweenness mark transition zones in the flow rather than, as previously thought, the propagation of dynamical information. |
format | Online Article Text |
id | pubmed-3927207 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-39272072014-03-04 Networks from Flows - From Dynamics to Topology Molkenthin, Nora Rehfeld, Kira Marwan, Norbert Kurths, Jürgen Sci Rep Article Complex network approaches have recently been applied to continuous spatial dynamical systems, like climate, successfully uncovering the system's interaction structure. However the relationship between the underlying atmospheric or oceanic flow's dynamics and the estimated network measures have remained largely unclear. We bridge this crucial gap in a bottom-up approach and define a continuous analytical analogue of Pearson correlation networks for advection-diffusion dynamics on a background flow. Analysing complex networks of prototypical flows and from time series data of the equatorial Pacific, we find that our analytical model reproduces the most salient features of these networks and thus provides a general foundation of climate networks. The relationships we obtain between velocity field and network measures show that line-like structures of high betweenness mark transition zones in the flow rather than, as previously thought, the propagation of dynamical information. Nature Publishing Group 2014-02-18 /pmc/articles/PMC3927207/ /pubmed/24535026 http://dx.doi.org/10.1038/srep04119 Text en Copyright © 2014, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-sa/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-ShareALike 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ |
spellingShingle | Article Molkenthin, Nora Rehfeld, Kira Marwan, Norbert Kurths, Jürgen Networks from Flows - From Dynamics to Topology |
title | Networks from Flows - From Dynamics to Topology |
title_full | Networks from Flows - From Dynamics to Topology |
title_fullStr | Networks from Flows - From Dynamics to Topology |
title_full_unstemmed | Networks from Flows - From Dynamics to Topology |
title_short | Networks from Flows - From Dynamics to Topology |
title_sort | networks from flows - from dynamics to topology |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3927207/ https://www.ncbi.nlm.nih.gov/pubmed/24535026 http://dx.doi.org/10.1038/srep04119 |
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