Stability and Hopf Bifurcation Analysis of a Continuous Neural Network With Mixed Delays

A three-neuron network model with mixed delays involving multiple discrete and distributed is considered in this paper. Taking the distribute as bifurcation parameters respectively, we investigate stability of system structure conditions for generation Hopf from perspective distribution root characteristic equation linearized at equilibrium state nonlinear system. The intervals that make stable unstable are also given. In addition, when theorem satisfied, calculation formulas determining direction bifurcating periodic solution presented by means central manifold normal form method. Finally, numerical experiments carried out to support correctness theoretical results different cases. It can be concluded oscillation instability caused obviously affect network.