We investigate the possibility that narrowband oscillations may emerge from completely asynchronous, independent neural firing. We find that a population of asynchronous neurons may produce narrowband oscillations if each neuron fires quasi-periodically, and we deduce bounds on the degree of variability in neural spike-timing which will permit the emergence of such oscillations. These results suggest a novel mechanism of neural rhythmogenesis, and they help to explain recent experimental reports of large-amplitude local field potential oscillations in the absence of neural spike-timing synchrony. Simply put, although synchrony can produce oscillations, oscillations do not always imply the existence of synchrony.
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