← cronus
Kuramoto Model
Synchronization from chaos. Each oscillator has its own natural frequency, yet above a critical coupling strength they spontaneously lock into phase. Fireflies, neurons, power grids — the same mathematics governs them all.
Preset
Incoherent
Critical
Synchronized
Partial Sync
Two Clusters
Chimera
Parameters
Coupling K
1.0
Oscillators
128
Spread γ
1.0
Speed
1.0
Display
Circle
Phase vs Freq
Dot Field
Order Parameter r(t)
0 = incoherent · 1 = fully locked
Statistics
r =
0.00
K
c
≈
2.0
K/K
c
=
0.50
Pause
Reset
Space: pause · R: reset
1–6: presets · ↑↓: coupling
Related
Pendulum Wave
Interference
Ising Model
Kuramoto