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Hopf Bifurcation and Stability Analysis of a Congestion Control Model with Delay in Wireless Access Network
Joint Authors
Zhao, Wenbo
Sun, Xiao-ke
Wang, Huicheng
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We drive a scalar delay differential system to model the congestion of a wireless access network setting.
The Hopf bifurcation of this system is investigated using the control and bifurcation theory; it is proved that there exists a critical value of delay for the stability.
When the delay value passes through the critical value, the system loses its stability and a Hopf bifurcation occurs.
Furthermore, the direction and stability of the bifurcating periodic solutions are derived by applying the normal form theory and the center manifold theorem.
Finally, some examples and numerical simulations are presented to show the feasibility of the theoretical results.
American Psychological Association (APA)
Zhao, Wenbo& Sun, Xiao-ke& Wang, Huicheng. 2014. Hopf Bifurcation and Stability Analysis of a Congestion Control Model with Delay in Wireless Access Network. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033893
Modern Language Association (MLA)
Zhao, Wenbo…[et al.]. Hopf Bifurcation and Stability Analysis of a Congestion Control Model with Delay in Wireless Access Network. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033893
American Medical Association (AMA)
Zhao, Wenbo& Sun, Xiao-ke& Wang, Huicheng. Hopf Bifurcation and Stability Analysis of a Congestion Control Model with Delay in Wireless Access Network. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033893