Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A2L-D
Session:
Number:A2L-D-5
On the Study of Static and Hopf Bifurcation on a Ring of Neurons with Distributed Delay
Franco S. Gentile, Jorge Luis Moiola, Guillermo Luis Calandrini,
pp.69-72
Publication Date:2015/12/1
Online ISSN:2188-5079
DOI:10.34385/proc.47.A2L-D-5
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Summary:
In this paper, we study the dynamical behavior of an unidirectional ring of neurons with distributed delays affecting the communication paths. In order to detect and analyze static and Hopf bifurcations in this system, we use a version of a frequency-domain approach developed for distributed delay equations. Our results suggest that for a large enough number of neurons in the ring, a double Hopf bifurcation may also occur.