Article ID: | iaor20121884 |
Volume: | 218 |
Issue: | 12 |
Start Page Number: | 6748 |
End Page Number: | 6761 |
Publication Date: | Feb 2012 |
Journal: | Applied Mathematics and Computation |
Authors: | Bi Ping, Hu Zhixing |
Keywords: | neural networks |
A generalized model of the two‐neuron network with mixed delays is studied. The main purpose of this paper is to explore the linear stability of the trivial solution and Hopf bifurcation of a two‐neuron network with continuous and discrete delays. The general formula of the direction, the estimation formula of period and stability of bifurcated periodic solutions are also studied. Finally, the numerical simulations are given to illustrate the theoretical analysis.