Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The dynamics of a 2-dimensional neural network model in neutral form are investigated.
We prove that a sequence of Hopf bifurcations occurs at the origin as the delay increases.
The direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are determined by using normal form method and center manifold theory.
Global existence of periodic solutions is established using a global Hopf bifurcation result of Krawcewicz et al.
Finally, some numerical simulations are carried out to support the analytic results.
American Psychological Association (APA)
Liu, Ming& Xu, Xiaofeng. 2013. Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466375
Modern Language Association (MLA)
Liu, Ming& Xu, Xiaofeng. Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-466375
American Medical Association (AMA)
Liu, Ming& Xu, Xiaofeng. Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-466375
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466375