Stability and bifurcation of a three-dimension discrete neural network model
Chunrui Zhang · Journal of Natural Science of Heilongjiang University · 2010
A Three-dimension discrete neural network model is considered.The linear stability of the model is studied.It is found that there exists Hopf bifurcations when the parameter passes a sequence of critical values.Using the normal form method and the center manifold theorem,the explicit formulas which determine the direction of the Hopf bifurcations and the stability of bifurcating periodic solutions are derived.Finally,computer simulations are performed to support the theoretical predict.