Microscopic correlations in the finite-size Kuramoto model of coupled oscillators.

  title={Microscopic correlations in the finite-size Kuramoto model of coupled oscillators.},
  author={Franziska Peter and Chen Chris Gong and Arkady Pikovsky},
  journal={Physical review. E},
  volume={100 3-1},
Supercritical Kuramoto oscillators with distributed frequencies can be separated into two disjoint groups: an ordered one locked to the mean field, and a disordered one consisting of effectively decoupled oscillators-at least so in the thermodynamic limit. In finite ensembles, in contrast, such clear separation fails: The mean field fluctuates due to finite-size effects and thereby induces order in the disordered group. This publication demonstrates this effect, similar to noise-induced… 
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