TY  - JOUR
A1  - Komarov, Maxim
A1  - Pikovskij, Arkadij
T1  - The Kuramoto model of coupled oscillators with a bi-harmonic coupling function
T2  - Physica : D, Nonlinear phenomena
N2  - 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.
KW  - Kuramoto model
KW  - Bi-harmonic coupling function
KW  - Multi-branch entrainment
KW  - Synchronization
Y1  - 2014
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37295
SN  - 0167-2789
SN  - 1872-8022
VL  - 289
SP  - 18
EP  - 31
PB  - Elsevier
CY  - Amsterdam
ER  -