Volume no :5, Issue no: 2, July 2010

STABILITY AND BIFURCATION ANALYSIS IN A CLASS OF TWO-NEURON NETWORKS WITH DISTRIBUTED DELAYS

Author's: Changjin Xu
Pages: [395] - [410]
Received Date: July 18, 2010
Submitted by:

Abstract

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.

Keywords

neural network, stability, Hopf bifurcation, distributed delay, periodic solution.