Internet congestion control model

Authors:
Gabriela Mircea
Affiliations:
Faculty of Economic Sciences, West University of Timisoara, Romania
Venue:
WSEAS Transactions on Information Science and Applications
Year:
2008

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Abstract

In this paper, we consider an Internet model with n access links, which respond to congestion signals from the network, and study the bifurcation of such a system. By choosing the gain parameter as a bifurcation parameter, we prove that a Hopf bifurcation occurs. The stability of bifurcating periodic solutions and the direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally a numerical example is given to verify the theoretical analysis.