We consider bifurcation phenomena and spike-train dynamics of a simple spiking neuron and its pulse-coupled system with filtered base signal. This paper presents the base signal that is given by applying a periodic triangle/square wave to a basic low-pass filter. As key parameters of the filter vary, shape of the base signal varies and the systems can generate various spike-trains. In the single neuron, the filtering can give variety of the base signal shape and can exhibit interesting bifurcation phenomena. For example, the neuron exhibits period-doubling bifurcation through which both the period and the number of spike-trains are doubling. We consider pulse-coupled two neurons. We show typical phenomena: chaotic spike-trains of two neurons are changed into periodic spike-trains by the pulse-coupling (Chaos + Chaos = Order). Opposite phenomena is Order + Order = Chaos in the pulse-coupled neurons. The coupled system exhibits tangent bifurcation that can induce “Chaos + Chaos = Order”. Using the mapping procedure, the bifurcation phenomena can be analyzed precisely. Presenting simple test circuits, typical phenomena are confirmed experimentally.

114 工学部 (旧) ・工学研究科 ＞ 学位論文 ＞ 修士論文