scholarly journals Periodic solutions for a delayed neural network model on a special time scale

2010 ◽  
Vol 23 (5) ◽  
pp. 571-575 ◽  
Author(s):  
Feiyan Zheng ◽  
Zhan Zhou ◽  
Chaoqun Ma
Keyword(s):  
Neural Network ◽  
Periodic Solutions ◽  
Network Model ◽  
Neural Network Model ◽  
Time Scale ◽  
Delayed Neural Network ◽  
Special Time

STABILITY AND BIFURCATION ANALYSIS ON A DELAYED NEURAL NETWORK MODEL

2005 ◽  
Vol 15 (09) ◽  
pp. 2883-2893 ◽  
Author(s):  
XIULING LI ◽  
JUNJIE WEI
Keyword(s):  
Neural Network ◽  
Hopf Bifurcation ◽  
Network Model ◽  
Neural Network Model ◽  
Center Manifold ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
Delayed Neural Network ◽  
The Stability

A simple delayed neural network model with four neurons is considered. Linear stability of the model is investigated by analyzing the associated characteristic equation. It is found that Hopf bifurcation occurs when the sum of four delays varies and passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. An example is given and numerical simulations are performed to illustrate the obtained results. Meanwhile, the bifurcation set is provided in the appropriate parameter plane.

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