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One node driving synchronisation

Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with heterogeneous coupling strengths. The synchronisation of phase-oscilla...

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Detalles Bibliográficos
Autores principales: Wang, Chengwei, Grebogi, Celso, Baptista, Murilo S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4676025/
https://www.ncbi.nlm.nih.gov/pubmed/26656718
http://dx.doi.org/10.1038/srep18091
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author Wang, Chengwei
Grebogi, Celso
Baptista, Murilo S.
author_facet Wang, Chengwei
Grebogi, Celso
Baptista, Murilo S.
author_sort Wang, Chengwei
collection PubMed
description Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with heterogeneous coupling strengths. The synchronisation of phase-oscillators is independent of the distribution of the natural frequencies, weakly depends on the network size, but highly depends on only one key oscillator whose ratio between its natural frequency in a rotating frame and its coupling strength is maximum. This result is based on a novel method to calculate the critical coupling strength with which the phase-oscillators emerge into frequency synchronisation. In addition, we put forward an analytical method to approximately calculate the phase-angles for the synchronous oscillators.
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spelling pubmed-46760252015-12-16 One node driving synchronisation Wang, Chengwei Grebogi, Celso Baptista, Murilo S. Sci Rep Article Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with heterogeneous coupling strengths. The synchronisation of phase-oscillators is independent of the distribution of the natural frequencies, weakly depends on the network size, but highly depends on only one key oscillator whose ratio between its natural frequency in a rotating frame and its coupling strength is maximum. This result is based on a novel method to calculate the critical coupling strength with which the phase-oscillators emerge into frequency synchronisation. In addition, we put forward an analytical method to approximately calculate the phase-angles for the synchronous oscillators. Nature Publishing Group 2015-12-11 /pmc/articles/PMC4676025/ /pubmed/26656718 http://dx.doi.org/10.1038/srep18091 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Wang, Chengwei
Grebogi, Celso
Baptista, Murilo S.
One node driving synchronisation
title One node driving synchronisation
title_full One node driving synchronisation
title_fullStr One node driving synchronisation
title_full_unstemmed One node driving synchronisation
title_short One node driving synchronisation
title_sort one node driving synchronisation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4676025/
https://www.ncbi.nlm.nih.gov/pubmed/26656718
http://dx.doi.org/10.1038/srep18091
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