Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A5L-A
Session:
Number:A5L-A-3
Design of Homoclinic Bifurcation in PWC Neuron Model
Souhei Takeda, Hiroyuki Torikai,
pp.345-348
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
In this study, a design procedure of a homoclinic bifurcation of oscillatory orbits in a piece-wise constant (ab. PWC) neuron model is presented. It is shown that, under an appropriate design, the PWC neuron model can exhibit homoclinic bifurcations such as a border-collision-type bifurcation similar to the blue-sky catastrophe.