Hopf bifurcation in an internet congestion control model (Q1433575)

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scientific article; zbMATH DE number 2077281
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Hopf bifurcation in an internet congestion control model
scientific article; zbMATH DE number 2077281

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    Hopf bifurcation in an internet congestion control model (English)
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    1 July 2004
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    An internet congestion control system model with single link and single source is studied. Using the positive gain parameter as a bifurcation parameter, the authors show that Hopf bifurcation occurs yielding a family of periodic orbits bifurcating from the network equilibrium. Both stability and direction of the bifurcating periodic orbits are investigated. Simulation results illustrate the theoretical results.
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    Hopf bifurcation
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    control system
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    periodic orbit
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