DocumentCode
1699957
Title
Co-dimension 1 Bifurcations of the Delayed Internet TCP-RED Model
Author
Lijun, Pei ; Li, Zhang ; Ruimin, Wang
Author_Institution
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
fYear
2010
Firstpage
565
Lastpage
569
Abstract
In this paper, dynamics of the delayed Internet TCP-RED congestion control model is considered employing the analysis software of the delayed dynamical systems-DDE-BIFTOOL. The transmission delay τ1 can make it subject to Hopf and Fold bifurcation, thus the averaged queue length and arrival rate would be the approximately constant or vary periodically. The important effects of the transmission delay τ1 on the dynamics of the system are disclosed.
Keywords
Internet; bifurcation; telecommunication congestion control; transport protocols; Hopf bifurcation; co-dimension 1 bifurcation; delayed Internet TCP-RED congestion control model; delayed dynamical systems-DDE-BIFTOOL; fold bifurcation; random early detection; transfer control protocol; transmission delay; Bifurcation; Delay; Delay effects; Eigenvalues and eigenfunctions; Internet; Mathematical model; Fold bifurcation; Hopf bifurcation; TCP-RED model; congestion control; time delay;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Information Networking and Security (MINES), 2010 International Conference on
Conference_Location
Nanjing, Jiangsu
Print_ISBN
978-1-4244-8626-7
Electronic_ISBN
978-0-7695-4258-4
Type
conf
DOI
10.1109/MINES.2010.124
Filename
5670886
Link To Document