Self-organized criticality in a simple model of neurons based on small-world networks.

A simple model for a set of interacting idealized neurons with small-world structure is introduced. The basic elements of the model are endowed with the main features of a neuron function. We find that our model displays power-law behavior of avalanche sizes and generates long-range temporal correlations and 1/f noise. More importantly, we find there are different avalanche dynamical behaviors for different phi, the density of short paths in the network.