Abstract

We consider a large ensemble of globally coupled subthreshold Morris–Lecar neurons. We numerically investigate collective coherence of noise-induced spikings by varying the coupling strength J. As J passes a lower threshold, a transition to collective spiking coherence, which is described in terms of an order parameter, occurs because the coupling stimulates coherence between noise-induced spikings. However, when passing a higher threshold, the coupling induces oscillator death (i.e., quenching of noise-induced spikings) because each neuron is attracted to a noisy equilibrium state. Through competition of these two different roles of coupling, coupling-induced spiking coherence is found to occur in a large range of intermediate coupling strength. The degree of spiking coherence is well-characterized in terms of a coherence measure reflecting the degree of "resemblance" of the global potential to the local potential.

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