Frustrated Kuramoto
Phase frustration breaking synchronization in coupled oscillators
Parameters
Oscillators N:
30
Coupling K:
2.0
Frustration α:
0.00
Frequency disorder σ:
1.0
Reset
Order Parameter
r (current):
—
r (mean):
—
K
c
= 2σ:
—
Phase:
—
About
The Kuramoto model: dθ_i/dt = ω_i + (K/N)Σ_j sin(θ_j−θ_i−α). Frustration α≠0 creates a phase lag, allowing steady partially-synchronized states. At α=π/2 (π/2≈1.57), coupling becomes repulsive. K_c = 2σ/√(1−α²/…) sets synchronization onset.