We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neu- rons emit spikes irregularly and at a low rate. In the limit when the number of neurons N→∞, the network exhibits a sharp transition be- tween a stationary and an oscillatory global activity regime where neurons are weakly synchronized. The activity becomes oscillatory when the in- hibitory feedback is strong enough. The period of the global oscillation is found to be mainly controlled by synaptic times but depends also on te characteristics of the external input.
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