Codimension two bifurcation in a delayed neural network with unidirectional coupling
type: Item
instance of: scholarly article
title: Codimension two bifurcation in a delayed neural network with unidirectional coupling
zbMATH Open document ID: 1266.34119
author: Xing He
author: Chuandong Li
author: Tingwen Huang
author: Chaojie Li
published in: Nonlinear Analysis. Real World Applications
publication date: 2013-03-07T00:00:00Z
review text: A delayed neural network with unidirectional coupling is studied. First, the authors prove the existence of a zero-Hopf bifurcation for such networks. Then, a normal form is used in order to predict zero-Hopf diagrams. Moreover, the existence of double Hopf bifurcation is proved for the coupled dynamical system. Numerical experiments illustrate the obtained theoretical results.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6142868
zbMATH Keywords: codimension-two bifurcation
zbMATH Keywords: zero-Hopf bifurcation
zbMATH Keywords: double Hopf bifurcation
zbMATH Keywords: delayed neural networks
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.09.010
OpenAlex ID: W2088500498
Wikidata QID: Q61891210
DOI: 10.1016/J.NONRWA.2012.09.010
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description: scientific article; zbMATH DE number 6142868