Can statistical criticality be linked with dynamical criticality

Oreste Piro

IFISC, UIB, Palma de Mallorca, Spain

We will present a simple model of neural tissue in which this balance is sought locally by neurons following 'anti-Hebbian' behavior: all degrees of freedom achieve a close balance of excitation and inhibition and become "critical" in the dynamical sense. At long timescales, the modes of our model oscillate around the instability line, so an extremely complex "breakout" dynamics ensues in which different modes of the system oscillate between prominence and extinction. We show the system develops various anomalous statistical behaviours and hence becomes self-organized critical in the statistical sense.