N=100 phase oscillators with random natural frequencies ωᵢ ~ N(0,1). Coupling K. Above Kc ≈ 1.596, the order parameter r = |⟨eiθ⟩| jumps from 0 — spontaneous synchronization.
Coupling K 1.50
K = 1.50 Kc ≈ 1.596 Order r = 0.00 Mean phase ψ = 0.00 rad UNSYNCHRONIZED