(Color online.) A) Empirical measurements of Λ0 (symbols) agree well with predictions, Eq. (S15), showing that as α increases, the S = 0 state becomes more repulsive. B) Lifetime of network activity increases with inhibitory fraction α for various N and 〈k〉. Simulations began with 100 active nodes, with lifetime calculated from the fraction of simulations that ceased prior to T = 104 timesteps. (C) Lifetime scales correctly with q, as shown in Eq. (6), indicated by collapse of curves.