One node driving synchronisation

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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 languageEnglish
Article number18091
JournalScientific Reports
Volume5
DOIs
Publication statusPublished - 11 Dec 2015

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synchronism
oscillators
resonant frequencies
frequency synchronization
phase shift

Keywords

  • nlin.AO
  • physics.soc-ph

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One node driving synchronisation. / Wang, Chengwei; Grebogi, Celso; Baptista, Murilo S.

In: Scientific Reports, Vol. 5, 18091 , 11.12.2015.

Research output: Contribution to journalArticle

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