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Chaos : Hopf bifurcation control in a congestion control model via dynamic delayed feedback

By Songtao Guo, Gang Feng, Xiaofeng Liao, and Qun Liu

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Book Id: WPLBN0002169286
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 9 October 2008

Title: Chaos : Hopf bifurcation control in a congestion control model via dynamic delayed feedback  
Author: Songtao Guo, Gang Feng, Xiaofeng Liao, and Qun Liu
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
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Publisher: American Institute of Physics

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Gang Feng, Xiaofeng Liao, And Qun Li, S. G. (n.d.). Chaos : Hopf bifurcation control in a congestion control model via dynamic delayed feedback. Retrieved from http://www.gejl.org/


Description
Description: A typical objective of bifurcation control is to delay the onset of undesirable bifurcation. In this paper, the problem of Hopf bifurcation control in a second-order congestion control model is considered. In particular, a suitable Hopf bifurcation is created at a desired location with preferred properties and a dynamic delayed feedback controller is developed for the creation of the Hopf bifurcation. With this controller, one can increase the critical value of the communication delay, and thus guarantee a stationary data sending rate for larger delay. Furthermore, explicit formulae to determine the period and the direction of periodic solutions bifurcating from the equilibrium are obtained by applying perturbation approach. Finally, numerical simulation results are presented to show that the dynamic delayed feedback controller is efficient in controlling Hopf bifurcation.

 
 



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