Stability and Hopf bifurcation of FHN neuron model with time delay under magnetic flow

This paper presents an investigation of the dynamics of the FHN neuron model with time delay under the magnetic flow effect. The stability and existence of Hopf bifurcation of the FHN neuron model with time delay under the magnetic flow effect are analyzed by using Routh–Hurwitz criterion. The direction and stability of the Hopf bifurcation are given based on the center manifold theorem and normal form analysis. Finally, numerical simulations are presented to illustrate the theoretical analysis.