One node driving synchronisation

Chengwei Wang; Celso Grebogi; Murilo S. Baptista

doi:10.1038/srep18091

One node driving synchronisation

Chengwei Wang, Celso Grebogi, Murilo S. Baptista

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Article number	18091
Journal	Scientific Reports
Volume	5
DOIs	https://doi.org/10.1038/srep18091
Publication status	Published - 11 Dec 2015

Keywords

nlin.AO
physics.soc-ph

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10.1038/srep18091Licence: CC BY

One node driving synchronisation
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Cite this

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title = "One node driving synchronisation",

abstract = "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.",

keywords = "nlin.AO, physics.soc-ph",

author = "Chengwei Wang and Celso Grebogi and Baptista, {Murilo S.}",

note = "C.-W.W. is supported by a studentship funded by the College of Physical Sciences, University of Aberdeen. M.S.B. acknowledges EPSRC grant NO. EP/I032606/1.",

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AU - Wang, Chengwei

AU - Grebogi, Celso

AU - Baptista, Murilo S.

N1 - C.-W.W. is supported by a studentship funded by the College of Physical Sciences, University of Aberdeen. M.S.B. acknowledges EPSRC grant NO. EP/I032606/1.

PY - 2015/12/11

Y1 - 2015/12/11

N2 - 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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