Hopf Bifurcation Analysis for a Two-neuron Network with Three Delays
Xumeng Li · Journal of University of South China · 2008
The investigation of neural networks with two or three neurons has been the hot subject of recent study,for which can obtain a deep and clear understanding of the dynamics of large-scale neural networks.In this paper,the dynamics of a class of two-neuron networks with three delays is investigated.The linear stability and Hopf bifurcation are analyzed by linearization method,and the direction of Hopf bifurcation is obtained by the normal form method and the center manifold theory introduced by hassard.The results extend and complement some earlier publication.