Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays

In this paper we consider the numerical approximation of a n-dimension neural network model with multi-delays undergoing a Hopf bifurcation. We prove that if the neural network model has a Hopf bifurcation point at τ = τ*, then the discrete neural network model obtained by Euler-method also has a Hopf bifurcation point at τh = τ* + O(h).