Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays

الملخص EN

A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper.

By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed.

By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stability of bifurcating periodic solutions are obtained.

Numerical simulations are given to illustrate the obtained results.