On Blue-Sky catastrophe in a PWC neuron model

摘要

In this study, a design procedure of a homoclinic bifurcation of oscillatory orbits in a piece-wise constant neuron model is introduced. It is shown that, under an appropriate design, the piece-wise constant neuron model can exhibit homoclinic bifurcations such as a border-collision-type bifurcation similar to the blue-sky catastrophe.