🧠 Brainwave Oscillations — EEG Simulator

Visualise the four major EEG frequency bands using a Kuramoto coupled-oscillator model. Adjust the brain-state preset or coupling strength and watch synchrony emerge — just like during meditation, deep sleep, or focused cognition.

δ Delta (0.5–4 Hz) θ Theta (4–8 Hz) α Alpha (8–13 Hz) β Beta (13–30 Hz)

Brain State Preset

Coupling & Noise

Coupling K 2.0 Noise σ 0.3

Band Power (custom)

δ power 0.2 θ power 0.3 α power 0.8 β power 0.4

Stats

Sync order r—

Dominant band—

Mean freq (Hz)—

About This Simulation

Real EEG signals are a superposition of oscillations from millions of neurons. This simulation uses the Kuramoto model — N coupled phase oscillators with natural frequencies drawn from a Lorentzian distribution centred on each band. The coupling K controls how strongly oscillators pull each other toward a common phase; above a critical coupling K_c, the order parameter r jumps from near-zero to near-one, representing the phase transition from incoherence to synchrony.

Four EEG bands dominate different cognitive states: delta (δ) appears during deep sleep; theta (θ) during memory consolidation and drowsiness; alpha (α) during relaxed, eyes-closed wakefulness; and beta (β) during active cognition and alertness. The scrolling waveform mimics a four-channel EEG trace, while the power spectrum bar chart shows the relative dominance of each band.