Figure 12.

Demonstration of the lack of influence of divergent connections on synchrony. Each network was a SONET of N = 3000 neurons with p = 0.1 and α_recip = α_conv = α_chain = 0. (A) Sample outgoing degree distributions demonstrate how large values of α_div are unrealistic. For α_div = 8, nearly 2500 neurons have no projections and over 140 neurons project to all other neurons. (B) For each of 50 networks with different values of α_div, the PRC model (17) was simulated using 7 different coupling strengths S. Since the same networks are used, fluctuations due to the particular network structure are similar for each connectivity strength. Values of ${\widehat{\alpha }}_{\text{div}}$ can exceed the theoretical maximum of 1/p − 1 = 9 as they are estimates from the generated connectivity matrix using (3). PRC model parameters are the same as used in Figure 9B.