Kuramoto Model
dθ_i/dt = ω_i + (K/N)Σsin(θ_j−θ_i) · N oscillators on circle
K_c = 2γ = 2.00
Coupling K
K = 1.00
Disordered
K=0
Critical
K=2γ
Synced
K=4
Oscillators N
N = 200
Freq Width γ
γ = 1.00
Controls
↺ Reset (new ω, θ)
⏸ Pause
↔ Phase Space View
r = order parameter
r = 0: fully disordered
r = 1: fully synchronized
K_c = 2γ
(critical coupling)
K < K_c → incoherent
K > K_c → partial lock-in
Colors:
blue=slow, red=fast
r =
—
ψ =
—
K/K_c =
—
dt =
0.02
step =
0