Parameters
Order parameter r0.00
Mean phase0.00
K_c (theory)—
Phase: incoherent
Kuramoto Model (1975): dθᵢ/dt = ωᵢ + (K/N)Σⱼ sin(θⱼ−θᵢ). For Lorentzian freq. distribution with spread γ, the critical coupling is K_c = 2γ. Above K_c, a synchronized cluster forms and the order parameter r = |⟨e^{iθ}⟩| > 0.