Bifurcation Analysis of a Reconfigurable Hybrid Spiking Neuron and its Novel Online Learning Algorithm

A hybrid spiking neuron is a wired system of shift registers and behaves like a neuron model. The neuron exhibits various bifurcation phenomena and response characteristics for a stimulation spike-train input. In this paper we formulate some typical bifurcation mechanisms and clarify these mechanisms by using discrete/continuous hybrid maps. Based on the analysis results, we can clarify mechanisms of various responses of the neuron. In addition, we propose a novel online learning algorithm of the neuron and show that the neuron can reconstruct or approximate response characteristics of another neuron with unknown parameter values.