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.Peer reviewedPublisher PD

Baptista, Murilo S.

Grebogi, Celso

Wang, Chengwei

Scientific Reports

arXiv

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.Peer reviewe

Baptista, M. S.

Aberdeen University Research

One node driving synchronisation

AbstractAbrupt 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.</jats:p

Chengwei Wang

Celso Grebogi

Murilo S. Baptista

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One node driving synchronisation

Abstract

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Aberdeen University Research

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