Home > Papers

 
 
Bifurcation analysis in a unidirectional ring of neural networks with distributed delays
Han Yanyan,Song Yongli *
Department of Mathematics, Tongji University, ShangHai 200092
*Correspondence author
#Submitted by
Subject:
Funding: Supported by Doctoral Fund of Ministry of Education of China （No.No.200802471024）
Opened online: 6 January 2012
Accepted by: none
Citation: Han Yanyan,Song Yongli.Bifurcation analysis in a unidirectional ring of neural networks with distributed delays[OL]. [ 6 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4458385
 
 
In this paper, we consider the effect of distributed delays on the dynamics in a three-neuron unidirectional ring. Taking the average delay as a bifurcation parameter, we find two critical values at which the system undergoes Hopf bifurcations. The direction and t The orbital asymptotic stability of the Hopf bifurcating is determined by using the method of multiple scales.
Keywords:Neural network; Distributed delay; Hopf bifurcation; Direction of bifurcation; Stability
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 209
Bookmarked 0
Recommend 5
Comments Array
Submit your papers