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

PHYSICA D-NONLINEAR PHENOMENA

卷:289

Article

Komarov, M.¹ 

[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam, Germany

关键词: Kuramoto model;    Bi-harmonic coupling function;    Multi-branch entrainment;    Synchronization;   

DOI  :  10.1016/j.physd.2014.09.002

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free