Singular unlocking transition in the Winfree model of coupled oscillators.

@article{Quinn2007SingularUT,
  title={Singular unlocking transition in the Winfree model of coupled oscillators.},
  author={D. Dane Quinn and Richard H. Rand and Steven H. Strogatz},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 3 Pt 2},
  pages={036218}
}
The Winfree model consists of a population of globally coupled phase oscillators with randomly distributed natural frequencies. As the coupling strength and the spread of natural frequencies are varied, the various stable states of the model can undergo bifurcations, nearly all of which have been characterized previously. The one exception is the unlocking transition, in which the frequency-locked state disappears abruptly as the spread of natural frequencies exceeds a critical width. Viewed as… CONTINUE READING

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