Analysis of Composite Dynamics of Two Bifurcating Neurons

This paper presents pulse-coupled two bifurcating neurons. The single neuron is represented by a spike position map and the coupled neurons can be represented by a composition of the spike position maps. Using the composite map, we can analyze basic bifurcation phenomena and can find some interesting phenomena that are caused by the pulse-coupling and are impossible in the single neuron. Presenting a simple test circuit, typical phenomena are confirmed experimentally. key words: bifurcation, synchronization, chaos, spiking neuron, pulsecoupled neural networks