Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-29
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
A kind of delay neural network with n elements is considered.
By analyzing the distribution of the eigenvalues, a bifurcation set is given in an appropriate parameter space.
Then by using the theory of equivariant Hopf bifurcations of ordinary differential equations due to Golubitsky et al.
(1988) and delay differential equations due to Wu (1998), and combining the normal form theory of functional differential equations due to Faria and Magalhaes (1995), the equivariant Hopf bifurcation is completely analyzed.
American Psychological Association (APA)
Fan, Dejun& Wei, Junjie. 2009. Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-510714
Modern Language Association (MLA)
Fan, Dejun& Wei, Junjie. Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay. Mathematical Problems in Engineering No. 2009 (2009), pp.1-34.
https://search.emarefa.net/detail/BIM-510714
American Medical Association (AMA)
Fan, Dejun& Wei, Junjie. Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-34.
https://search.emarefa.net/detail/BIM-510714
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510714