aKey Laboratory of Forestry Plant Ecology, Ministry of Education, Northeast Forestry University, Harbin 150040, PR China
bDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China
Abstract:
A two-dimension discrete neural network model with multi-delays is obtained using Euler method. Furthermore, the linear stability of the model is studied. It is found that there exists Hopf bifurcations when the delay 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 predictions.