Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay
Keyword(s):
A four-dimensional neural network model with delay is investigated. With the help of the theory of delay differential equation and Hopf bifurcation, the conditions of the equilibrium undergoing Hopf bifurcation are worked out by choosing the delay as parameter. Applying the normal form theory and the center manifold argument, we derive the explicit formulae for determining the properties of the bifurcating periodic solutions. Numerical simulations are performed to illustrate the analytical results.
2005 ◽
Vol 15
(09)
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pp. 2883-2893
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Keyword(s):
2014 ◽
Vol 2014
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pp. 1-14
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2013 ◽
Vol 23
(11)
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pp. 1350174
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2012 ◽
Vol 2012
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pp. 1-17
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