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

被引：33
|
作者：
Komarov, M. [1 ]
Pikovsky, A.
机构：
[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam, Germany
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2014年 / 289卷
基金：
俄罗斯科学基金会;
关键词：
Kuramoto model; Bi-harmonic coupling function; Multi-branch entrainment; Synchronization; LIMIT-CYCLE OSCILLATORS; MULTIBRANCH ENTRAINMENT; PHASE MODEL; SYNCHRONIZATION; POPULATION; SINGULARITIES; TRANSITIONS; ONSET;
D O I：
10.1016/j.physd.2014.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：18 / 31
页数：14
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