Cargando…
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...
Autores principales: | , , |
---|---|
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 |
_version_ | 1782405095961395200 |
---|---|
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. |
format | Online Article Text |
id | pubmed-4676025 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT wangchengwei onenodedrivingsynchronisation AT grebogicelso onenodedrivingsynchronisation AT baptistamurilos onenodedrivingsynchronisation |