Synchronization in Random Weighted Directed Networks

@article{Porfiri2008SynchronizationIR,
  title={Synchronization in Random Weighted Directed Networks},
  author={Maurizio Porfiri and Daniel J. Stilwell and Erik M. Bollt},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2008},
  volume={55},
  pages={3170-3177}
}
We assess synchronization of oscillators that are coupled via a time-varying stochastic network, modeled as a weighted directed random graph that switches at a given rate between a set of possible graphs. The existence of any graph edge is probabilistic and independent from the existence of any other edge. We further allow each edge to be weighted differently. Even if the network is always instantaneously not connected, we show that sufficient information is propagated through the network to… CONTINUE READING
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