Kuramoto Sync

Kuramoto synchronization couples phase oscillators θ̇ᵢ = ωᵢ + (K/N) Σ sin(θⱼ−θᵢ). The order parameter r measures coherence. For uniform ω∈[−γ,γ], mean-field theory gives Kc≈4γ/π. Slide K live; use the scan tab to map ⟨r⟩(K).