Time delay in the Kuramoto model with bimodal frequency distribution.

  title={Time delay in the Kuramoto model with bimodal frequency distribution.},
  author={Ernest Montbri{\'o} and Diego Paz{\'o} and J{\"u}rgen Schmidt},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={74 5 Pt 2},
We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence. 

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