Critical behaviour of the stochastic Wilson-Cowan model
Fig 4
Size and duration avalanche distributions.
(A) Distribution function of the avalanche sizes on the whole observed range. (B) Distribution function of the avalanche sizes on the region where robust power law behaviour is observed. (C) Distribution function of the avalanche duration as a function of the number of bins. (D) Distribution function of the avalanche duration as a function of time. Parameters w0 = 0.1, h = 10−6, N = 106. Different curves correspond to different values of the bin width δ, introduced to define the avalanche (see Methods). (E) Exponents of size and duration distributions, with error bars, computed using the estimator introduced in [38, 39], for different values of the lower bound of the fitting window. Error bars are not shown if they are smaller than the symbol size. (F) Size distribution function of the avalanches for w0 = 0.1, h = 10−6, and different values of the system size N = 103 − 107. As expected for a critical behaviour in finite systems, the exponential cut-off scales with N.