Predicting criticality and dynamic range in complex networks: effects of topology.

@article{Larremore2011PredictingCA,
  title={Predicting criticality and dynamic range in complex networks: effects of topology.},
  author={Daniel B. Larremore and Woodrow L. Shew and Juan G. Restrepo},
  journal={Physical review letters},
  year={2011},
  volume={106 5},
  pages={
          058101
        }
}
The collective dynamics of a network of coupled excitable systems in response to an external stimulus depends on the topology of the connections in the network. Here we develop a general theoretical approach to study the effects of network topology on dynamic range, which quantifies the range of stimulus intensities resulting in distinguishable network responses. We find that the largest eigenvalue of the weighted network adjacency matrix governs the network dynamic range. When the largest… CONTINUE READING

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