Filter-induced bifurcation in simple spiking circuits

This paper studies filter-induced bifurcation phenomena in simple spiking circuits. Repeating integrate-and-fire dynamics between a periodic base signal and a threshold, the circuit outputs spike-trains. The dynamics depends crucially on the shape of the base signal and we make the base signal by filtering a square source signal. As a key parameter of the filter varies, the shape of the base signal varies and the model can exhibit bifurcation phenomena of various periodic/chaotic spiketrains. Effects of the ideal low-pass filter is considered. Presenting a simple test circuit, typical phenomena are also confirmed experimentally.