Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays

A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine the direction of Hopf bifurcation and stabilit...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.635-645-742
Main Authors: Liu, Qiming, Zheng, Wang
Format: Article
Language:English
Subjects:
Equilibrium
Externality
Neural networks
Studies
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Summary:A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine the direction of Hopf bifurcation and stability of the periodic solutions. Moreover, a set of sufficient conditions are given to guarantee the global Hopf bifurcation. Numerical simulations are given to illustrate the obtained results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/909385