Stability and Hopf bifurcation of an n-neuron annular neural network with time-delay

It is well known that nonlinear dynamical systems with high dimensional are relatively complex to study. In this paper, the dynamics of an n-neuron annular neural network with time-delay are investigated. Through analyzing the associated characteristic equation, we obtained the local stability at the equilibrium, and then show the conditions when the proposed system lose its stability so that the Hopf bifurcation occurs. Finally, we give some numerical simulations to justify the obtained results of the proposed scheme.