Global Hopf bifurcation analysis on a BAM neural network with delays

2007 ◽  
Vol 360 (6) ◽  
pp. 689-695 ◽  
Author(s):  
Chengjun Sun ◽  
Maoan Han ◽  
Xiaoming Pang
Keyword(s):  
Neural Network ◽  
Hopf Bifurcation ◽  
Bifurcation Analysis ◽  
Global Hopf Bifurcation ◽  
Bam Neural Network

Stability and global Hopf bifurcation for neutral BAM neural network

2014 ◽  
Vol 145 ◽  
pp. 122-130 ◽  
Author(s):  
Ming Liu ◽  
Xiaofeng Xu ◽  
Chunrui Zhang
Keyword(s):  
Neural Network ◽  
Hopf Bifurcation ◽  
Global Hopf Bifurcation ◽  
Bam Neural Network

scholarly journals Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays

2006 ◽  
Vol 2006 ◽  
pp. 1-18 ◽  
Author(s):  
Xiang-Ping Yan ◽  
Wan-Tong Li
Keyword(s):  
Neural Network ◽  
Hopf Bifurcation ◽  
Global Existence ◽  
Periodic Solutions ◽  
Network Model ◽  
Neural Network Model ◽  
Multiple Delays ◽  
Global Hopf Bifurcation ◽  
Existence Of Periodic Solutions ◽  
Bam Neural Network

We consider a simplified bidirectional associated memory (BAM) neural network model with four neurons and multiple time delays. The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf bifurcation theorem due to Wu and Bendixson's criterion for high-dimensional ordinary differential equations due to Li and Muldowney. It is shown that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of the sum of two delays. Numerical simulations supporting the theoretical analysis are also included.

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