Hopf bifurcation analysis of two neurons with three delays

Using the system parameter instead of the delays as the bifurcation parameter, linear stability and Hopf bifurcation including its direction and stability of a two-neuron network with three delays are investigated in this paper. The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard. Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior.