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
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;
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
DOI :
10.1109/MINES.2010.124
