A minimal model of self-consistent partial synchrony

Pau Clusella, Antonio Politi, Michael Rosenblum

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Abstract

We show that self-consistent partial synchrony in globally coupled oscillatory ensembles is a general phenomenon. We analyze in detail appearance and stability properties of this state in possibly the simplest setup of a biharmonic Kuramoto–Daido phase model as well as demonstrate the effect in limit-cycle relaxational Rayleigh oscillators. Such a regime extends the notion of splay state from a uniform distribution of phases to an oscillating one. Suitable collective observables such as the Kuramoto order parameter allow detecting the presence of an inhomogeneous distribution. The characteristic and most peculiar property of self-consistent partial synchrony is the difference between the frequency of single units and that of the macroscopic field.
Original languageEnglish
Article number093037
Pages (from-to)1-15
Number of pages15
JournalNew Journal of Physics
Volume18
DOIs
Publication statusPublished - 20 Sep 2016

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Keywords

  • synchronization
  • coupled oscillators
  • collective dynamics

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A minimal model of self-consistent partial synchrony. / Clusella, Pau; Politi, Antonio; Rosenblum, Michael.

In: New Journal of Physics, Vol. 18, 093037, 20.09.2016, p. 1-15.

Research output: Contribution to journalArticle

Clusella, Pau ; Politi, Antonio ; Rosenblum, Michael. / A minimal model of self-consistent partial synchrony. In: New Journal of Physics. 2016 ; Vol. 18. pp. 1-15.
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