Role of synaptic delay in organizing the behavior of networks of self-inhibiting neurons - art. no. 021908

We consider a pair of mutually coupled inhibitory neurons in which each neu ron is also self-inhibitory. We show that the size of the synaptic delay de termines the existence and stability of solutions. For small delays, there is no synchronous solution, but a stable antiphase and a stable on-state so lution. For long delays, only the synchronous solution is stable. For inter mediate delays, either the antiphase or synchronous solutions are stable. I n contrast to prior work, for stability of synchrony, we only require the e xistence of a single slow process.