Hopf bifurcation in a general n-neuron ring network with n time delays
Elham Javidmanesh, Mohsen Khorshidi · DOAJ (DOAJ: Directory of Open Access Journals) · 2014
In this paper, we consider a general ring network consisting of n neurons and n time delays. By analyzing the associated characteristic equation, a classification according to n is presented. It is investigated that Hopf bifur-cation occurs when the sum of the n delays passes through a critical value.In fact, a family of periodic solutions bifurcate from the origin, while the zero solution loses its asymptotically stability. To illustrate our theoretical results, numerical simulation is given.