Kuramoto Model

Oscillators N: 50 Coupling K: 2.0 Freq spread σ: 1.0 Reset

dθᵢ/dt = ωᵢ + (K/N)Σⱼsin(θⱼ−θᵢ)

Critical coupling: K_c = 2/πg(0)
Order parameter r = |⟨eⁱᶿ⟩|
r→0: incoherent | r→1: synchronized