Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-04-26
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A kind of fourth-order delay differential equation is considered.
Firstly, the linear stability is investigated by analyzing the associated characteristic equation.
It is found that there are stability switches for time delay and Hopf bifurcations when time delay cross through some critical values.
Then the direction and stability of the Hopf bifurcation are determined, using the normal form method and the center manifold theorem.
Finally, some numerical simulations are carried out to illustrate the analytic results.
American Psychological Association (APA)
Cui, Xiaoqian& Wei, Junjie. 2009. Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-456030
Modern Language Association (MLA)
Cui, Xiaoqian& Wei, Junjie. Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-456030
American Medical Association (AMA)
Cui, Xiaoqian& Wei, Junjie. Bifurcation Analysis in a Kind of Fourth-Order Delay Differential Equation. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-456030
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456030