Hopf Bifurcation Analysis on a Tabu Learning Single Neuron Model in the Frequency Domain

2006 ◽  
Author(s):  
Xiaobing Zhou ◽  
Yue Wu ◽  
Yi Li ◽  
Yalan Ye
Keyword(s):  
Hopf Bifurcation ◽  
Frequency Domain ◽  
Bifurcation Analysis ◽  
Single Neuron ◽  
Neuron Model

scholarly journals Hopf Bifurcation Analysis in a Tabu Learning Neuron Model with Two Delays

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Yingguo Li
Keyword(s):  
Hopf Bifurcation ◽  
Theoretical Analysis ◽  
Bifurcation Analysis ◽  
Neuron Model ◽  
Dynamical Behavior ◽  
Bifurcation Parameter ◽  
Nonlinear Dynamical ◽  
Numerical Examples ◽  
Two Delays

We consider the nonlinear dynamical behavior of a tabu leaning neuron model with two delays. By choosing the sum of the two delays as a bifurcation parameter, we prove that Hopf bifurcation occurs in the neuron. Some numerical examples are also presented to verify the theoretical analysis.

Frequency-Domain Approach to Hopf Bifurcation Analysis

10.1142/11418 ◽  
2019 ◽  
Author(s):  
Franco Sebastián Gentile ◽  
Jorge Luis Moiola ◽  
Guanrong Chen
Keyword(s):  
Hopf Bifurcation ◽  
Frequency Domain ◽  
Bifurcation Analysis ◽  
Frequency Domain Approach
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