Stability and bifurcation in a neural network model with two delays

A simple neural network model with two delays is considered. Linear stabili ty of the model is investigated by analyzing the associated characteristic transcendental equation. For the case without self-connection, it is found that the Hopf bifurcation occurs when the sum of the two delays varies and passes a sequence of critical values. The stability and direction of the Ho pf bifurcation are determined by applying the normal form theory and the ce nter manifold theorem. An example is given and numerical simulations are pe rformed to illustrate the obtained results. (C)1999 Elsevier Science B.V. A ll rights reserved.