Dynamics of a Discrete Internet Congestion Control Model
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network.
Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation.
By choosing the time delay as a bifurcation parameter, we prove that Neimark-Sacker bifurcations occur when the delay passes a sequence of critical values.
Then, the explicit algorithm for determining the direction of the Neimark-Sacker bifurcations and the stability of the bifurcating periodic solutions is derived.
Finally, some numerical simulations are given to verify the theoretical analysis.
American Psychological Association (APA)
Li, Yingguo. 2011. Dynamics of a Discrete Internet Congestion Control Model. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-486381
Modern Language Association (MLA)
Li, Yingguo. Dynamics of a Discrete Internet Congestion Control Model. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-486381
American Medical Association (AMA)
Li, Yingguo. Dynamics of a Discrete Internet Congestion Control Model. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-486381
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486381