Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Changjin Xu
Pages: [395] - [410]
Received Date: July 18, 2010
Submitted by:
In this paper, a class of two-neuron networks with distributed delays is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory.
neural network, stability, Hopf bifurcation, distributed delay, periodic solution.
