Hopf bifurcation and stability for a neural network model with mixed delays

Hopf bifurcation and stability for a neural network model with mixed delays

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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: ,
Keywords: neural networks
Abstract:

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.

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