Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838134 | Nonlinear Analysis: Real World Applications | 2010 | 16 Pages |
Abstract
This paper carries out a Hopf bifurcation analysis on a model of Internet congestion control system for a network with arbitrary topology. The general form of the rate-based Kelly model for a multi-source multi-link network with a communication delay is considered. Assuming the communication delay as a bifurcation parameter, we find that when the delay parameter passes a critical value, a periodic solution bifurcates from the equilibrium point. The stability and direction of bifurcating periodic solutions are studied by using the center manifold theorem and the normal form theory. We simulate our model for a typical example to show the applicability of the approach.
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Authors
Behrooz Rezaie, Mohammad Reza Jahed Motlagh, Siavash Khorsandi, Morteza Analoui,