Effects of disorder on synchronization of discrete phase-coupled oscillators.

@article{Wood2007EffectsOD,
  title={Effects of disorder on synchronization of discrete phase-coupled oscillators.},
  author={Kevin Wood and Christian Van den Broeck and Ryoichi Kawai and Katja Lindenberg},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 4 Pt 1},
  pages={
          041107
        }
}
We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of globally connected arrays of N types of oscillators (N=2,3,4) by exploring the linear stability of the nonsynchronous fixed point. We also provide results for globally coupled arrays where the transition rate of each unit is drawn from a uniform distribution of… 

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