Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays

A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtaine...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.64-73-406
Main Authors: Liu, Qiming, Yang, Sumin
Format: Article
Language:English
Subjects:
Architectural engineering
Behavior
Computer simulation
Delay
Equilibrium
Hopf bifurcation
Mathematical analysis
Mathematical models
Mechanical engineering
Neural networks
Stability
Studies
Time delay
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Summary:A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem. Numerical simulations are given to illustrate the obtained results.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/468584