6
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      The Kuramoto model of coupled oscillators with a bi-harmonic coupling function

      Preprint
      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We study synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations. We develop a method for an analytic solution of self-consistent equations describing uniformly rotating complex order parameters, both for single-branch (one possible state of locked oscillators) and multi-branch (two possible values of locked phases) entrainment. We show that synchronous states coexist with the neutrally linearly stable asynchronous regime. The latter has a finite life time for finite ensembles, this time grows with the ensemble size as a power law.

          Related collections

          Author and article information

          Journal
          29 April 2014
          Article
          10.1016/j.physd.2014.09.002
          1404.7292
          81f2213d-897f-4df0-86f9-65151da12c22

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          nlin.CD nlin.AO

          Comments

          Comment on this article