Phase-locked patterns of the Kuramoto model on 3-regular graphs

Lee DeVille, Bard Ermentrout

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the existence of non-synchronized fixed points to the Kuramoto model defined on sparse networks: specifically, networks where each vertex has degree exactly three. We show that "most" such networks support multiple attracting phase-locked solutions that are not synchronized and study the depth and width of the basins of attraction of these phase-locked solutions. We also show that it is common in "large enough" graphs to find phase-locked solutions where one or more of the links have angle difference greater than π/2.

Original languageEnglish (US)
Article number094820
JournalChaos
Volume26
Issue number9
DOIs
StatePublished - Sep 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Phase-locked patterns of the Kuramoto model on 3-regular graphs'. Together they form a unique fingerprint.

Cite this