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Hopf bifurcation in an Internet congestion control model

โœ Scribed by Chunguang Li; Guanrong Chen; Xiaofeng Liao; Juebang Yu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
164 KB
Volume
19
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

We consider an Internet model with a single link accessed by a single source, which responds to congestion signals from the network, and study bifurcation of such a system. By choosing the gain parameter as a bifurcation parameter, we prove that 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.

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