On a test statistic for the Kuramoto order parameter of synchronization

an illustration for group synchronization during rocking chairs

T D Frank, M J Richardson

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We discuss a quantitative approach to detect phase synchronization in noisy experimental multivariate data. To this end, we derive a test statistic based on the Kuramoto order parameter. We derive criteria for rejecting the null hypothesis of zero phase synchronization at given significance levels. We apply the test statistic to a recently conducted study on group behavior that used a rocking chair paradigm. In this context, we quantify the emergence of phase synchronization within small groups of participants.
Original languageEnglish
Pages (from-to)2084-2092
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume239
Issue number23
DOIs
Publication statusPublished - 2010
Externally publishedYes

Keywords

  • phase synchronization
  • Kuramoto order parameter
  • test statistic
  • human group behavior

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