Basic behavior of a pulse-coupled ring system with three spiking neurons

Abstract

This paper proposes a pulse-coupled system with three spiking neurons. The neurons operate integrate-and-fire dynamics and output a spike. When this happens, another neuron accepts the spiked output and is compelled to fire: In this way, a ring of three neurons are coupled. As the parameter is varied, the behavior becomes a master-slave conjunction. We clarify the theoretical results for various boundary conditions and present the results of numerical simulations. Using a test circuit, we confirm the typical behavior of a pulse-coupled system.