Emergence of collective periodic behaviour in a multi-population system of interacting neurons

We study a multi-class system of interacting neurons looking for the emergence of oscillations: we model the neuronal ensemble using Hawkes processes representing the spikes fired by each neuron in a fixed interval of time; as a result, we show that, even though the single neuron doesn’t fire its spikes periodically, a collective, intrinsic, oscillatory behaviour can be detected.