FIG. 3.

(Color online) (a) Number of clusters in the asymptotic regime for 1000 coupled oscillators with η = 0.01 and 1000 different random initial conditions for each ɛ. The solid blue line indicates the upper bound (3), and the solid red line shows the number of clusters K_e(ɛ) for the uniform initial distribution. Inset: The number of clusters as a function of the initial distribution width δ for ɛ = 0.03; (b) time-averaged mean field 〈X〉 and the coefficient of variation CV as a function of ɛ for δ = 0.01 and firing noise η = 0.05 for 10 000 oscillators and 500 periods.