HIGHER-ORDER KURAMOTO
Oscillators N
60
K₁ (pairwise)
1.0
K₂ (triplet)
0.0
Freq spread σ
0.5
Order param R
0.00
Mean freq ⟨ω⟩
0.00
Reset oscillators
dθᵢ/dt = ωᵢ + (K₁/N)Σⱼsin(θⱼ−θᵢ)
+ (K₂/N²)Σⱼₖsin(θⱼ+θₖ−2θᵢ)
R·eⁱψ = (1/N)Σₙ eⁱθₙ
Daido order param: Zₚ=⟨eⁱpθ⟩
Higher-order interactions enable explosive sync & chimera states