Synchronization in oscillator networks with delayed coupling: a stability criterion.

  title={Synchronization in oscillator networks with delayed coupling: a stability criterion.},
  author={Matthew G. Earl and Steven H. Strogatz},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={67 3 Pt 2},
We derive a stability criterion for the synchronous state in networks of identical phase oscillators with delayed coupling. The criterion applies to any network (whether regular or random, low dimensional or high dimensional, directed or undirected) in which each oscillator receives delayed signals from k others, where k is uniform for all oscillators. 
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