@article{KomarovPikovskij2014,
  author    = {Komarov, Maxim and Pikovskij, Arkadij},
  title     = {The Kuramoto model of coupled oscillators with a bi-harmonic coupling function},
  series = {Physica : D, Nonlinear phenomena},
  volume    = {289},
  journal   = {Physica : D, Nonlinear phenomena},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0167-2789},
  doi       = {10.1016/j.physd.2014.09.002},
  pages     = {18 -- 31},
  year      = {2014},
  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. (C) 2014 Elsevier B.V. All rights reserved.},
  language  = {en}
}