Hopf bifurcation in an inertial neuron model with a strong kernel delay

In this paper, a single inertial neuron system with distributed delays for the strong kernel is investigated. By applying the frequency domain approach, the existence of the bifurcation parameter point is determined. The direction and stability of the bifurcating periodic solutions are determined by the Nyquist criterion and the graphical Hopf bifurcation theorem. Some numerical simulations for justifying the theoretical analysis are also given.