Name
Title | ||
|---|---|---|
The condition of Hopf bifurcation occurrence for congestion control system in computer networks with communication delay |
Abstract | ||
|---|---|---|
In this paper, we study a rate-based congestion control system with communication delay. We drive the condition on delay parameter under which Hopf bifurcation occurs. By taking delay as a bifurcation parameter and changing it, we find the critical value of delay such that the system passes the critical point and a periodic solution bifurcates from the equilibrium point. The model considered in this paper is a nonlinear delay differential equation which stands for a network with fixed communication delay. The simulation of a numerical example is given for justifying the theorical results. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/ICARCV.2008.4795541 | ICARCV |
Keywords | Field | DocType |
bifurcation,computer networks,delay-differential systems,delays,nonlinear differential equations,telecommunication congestion control,Hopf bifurcation,communication delay,computer networks,delay parameter,nonlinear delay differential equation,rate-based congestion control system,Hopf Bifurcation,Internet Congestion Control | Period-doubling bifurcation,Nonlinear system,Control theory,Computer science,Equilibrium point,Control engineering,Network congestion,Delay differential equation,Hopf bifurcation,Saddle-node bifurcation,Bifurcation | Conference |
ISBN | Citations | PageRank |
978-1-4244-2287-6 | 0 | 0.34 |
References | Authors | |
6 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad-reza Jahed Motlagh | 1 | 3 | 1.19 |
| rezaie | 2 | 13 | 4.68 |
| Morteza Analoui | 3 | 124 | 24.94 |
| khorsandi | 4 | 87 | 16.83 |