Entrainment transition in populations of random frequency oscillators

Hyunsuk Hong*, Hugues Chaté, Hyunggyu Park, Lei Han TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)

Abstract

The entrainment transition of coupled random frequency oscillators is revisited. The Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size effects leading to a correlation size exponent ν̄=5/2. Simulations of locally coupled oscillators in d dimensions reveal two types of frequency entrainment: mean-field behavior at d>4 and aggregation of compact synchronized domains in three and four dimensions. In the latter case, scaling arguments yield a correlation length exponent ν=2/(d-2), in good agreement with numerical results.

Original languageEnglish
Article number184101
JournalPhysical Review Letters
Volume99
Issue number18
DOIs
Publication statusPublished - 29 Oct 2007

Scopus Subject Areas

  • Physics and Astronomy(all)

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