Stability and Hopf Bifurcation of a Two-Neuron Network with Discrete and Distributed Delays

摘要

This paper makes a Hopf bifurcation analysis of a two-neuron network with mixed time delays. The network contains two discrete delays and two distributed delays. The sum of discrete delays is chosen as the bifurcation parameter, and the conditions of the stability and Hopf bifurcation are achieved by analyzing its characteristic equation. Finally, numerical simulations are carried out to illustrate the validity of the theoretical analysis.