Stability and global Hopf bifurcation for neutral BAM neural network

In this paper, a simplified neutral BAM neural network model is considered. Some results of stability and Hopf bifurcations occurring at the zero equilibrium as the delay increases are exhibited. Global existence of periodic solutions is established by using a global Hopf bifurcation result of Wu and a Bendixson criterion for higher dimensional ordinary differential equations due to Li and Muldowney. Finally, some numerical simulations are carried out to support the analytical results.