演講者：陳賢修教授

單　位：國立台灣師範大學數學系

日　期：2013年5月22日　PM 14:30

地　點：國立高雄大學理學院408室

講　題：Hopf bifurcation in a Simplified Connor-Stevens Model with Recurrent Neural Feedback

摘　要：

In this talk, we will discuss the Hopf bifurcation of a Simplified Connor-Stevens Model with recurrent feedback, where delay is the bifurcation parameter. This model is a generalization of the Hindmarsh-Rose model.

Depending on the design of the novel model, it is obvious that the number and stability of equilibria are the same as the model without delay. Next, the conditions of existence of the pure imaginary for its characteristic equation were studied and the parameter range of the conditions were shown for two special cases k = 0.9 and k = 1.1. When the parameters are near the parameter of the first Hopf bifurcation with delay as the bifurcation parameter, we numerically observe the MMOs near the parameter of either the Bautin bifurcation or the homoclinic bifurcation for the non-delay system. Therefore, the 2DHR type model with recurrent feedback possesses more sophisticated behaviors than one without recurrent feedback.