Hopf bifurcation in a general n-neuron ring network with n time delays

Iranian Journal of Numerical Analysis and Optimization

卷:4

Mohsen Khorshidi¹  Elham Javidmanesh¹ 

[1] Ferdowsi University of Mashhad;

关键词: ring network;    stability;    periodic solution;    hopf bifurcation;    time delay;   

DOI  :  10.22067/ijnao.v4i2.40227

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown