Dynamic pattern formation leads to 1/f noise in neural populations.

We present a generic model that generates long-range (power-law) temporal correlations, 1/f noise, and fractal signals in the activity of neural populations. The model consists of a two-dimensional sheet of pulse coupled nonlinear oscillators (neurons) driven by spatially and temporally uncorrelated external noise. The system spontaneously breaks the translational symmetry, generating a metastable quasihexagonal pattern of high activity clusters. Fluctuations in the spatial pattern cause these clusters to diffuse. The macroscopic dynamics (diffusion of clusters) translate into 1/f power spectra and fractal (power-law) pulse distributions on the microscopic scale of a single unit.

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