Bogdanov-Takens singularity of a neural network model with delay
Xiaoqin P. Wu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016
In this article, we study Bogdanov-Takens (BT) singularity of a tree-neuron model with time delay. By using the frameworks of Campbell-Yuan [2] and Faria-Magalhaes [4,5], the normal form on the center manifold is derived for this singularity and hence the corresponding bifurcation diagrams such as Hopf, double limit cycle, and triple limit cycle bifurcations are obtained. Examples are given to verify some theoretical results.