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

作者：Komarov M^*; Pikovsky A

来源：Physica D: Nonlinear Phenomena , 2014, 289: 18-31.

DOI：10.1016/j.physd.2014.09.002

• Kuramoto model
• Bi-harmonic coupling function
• Multi-branch entrainment
• Synchronization

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.

• 出版日期2014-12-15