Codimension two bifurcation in a delayed neural network with unidirectional coupling Academic Article

abstract

• In this paper, a delayed neural network model with unidirectional coupling is considered. Zero-Hopf bifurcation is studied by using the center manifold reduction and the normal form method for retarded functional differential equation. We get the versal unfolding of the norm form at the zero-Hopf singularity and show that the model can exhibit pitchfork, Hopf bifurcation, and double Hopf bifurcation is also found to occur in this model. Some numerical simulations are given to support the analytic results. 2012 Elsevier Ltd. All rights reserved.

authors

• Huang, Tingwen

published proceedings

• NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

author list (cited authors)

• He, X., Li, C., Huang, T., & Li, C.

citation count

• 39

complete list of authors

• He, Xing||Li, Chuandong||Huang, Tingwen||Li, Chaojie

publication date

• April 2013

publisher

• Elsevier  Publisher

published in

• Nonlinear Analysis: Real World Applications  Journal

keywords

• Codimension Two Bifurcation
• Delayed Neural Networks
• Double Hopf Bifurcation
• Zero-hopf Bifurcation

Digital Object Identifier (DOI)

• 10.1016/j.nonrwa.2012.09.010

start page

• 1191

end page

• 1202

volume

• 14

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.nonrwa.2012.09.010