Recent works on self-organized criticality (SOC) in pulse coupled relaxation oscillators have shown SOC to be related to frustrated attempts of the system to synchronize. Criticality has also been connected to punctuated equilibrium behaviour. We describe a model which shows a non-equilibrium phase transition and seems to link these two ideas. Near the transition, punctuated equilibrium behaviour is seen, with avalanches occurring on all scales. This scaling is described by an exponent very near 1.
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