The stochastic stability and bifurcation behavior of an Internet congestion control model

The stochastic stability and bifurcation behavior of an Internet congestion control model

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Article ID: iaor20118152
Volume: 54
Issue: 9-10
Start Page Number: 1954
End Page Number: 1965
Publication Date: Nov 2011
Journal: Mathematical and Computer Modelling
Authors: , ,
Keywords: networks: flow, simulation: applications
Abstract:

A stochastic differential equation modeling an Internet congestion control model is investigated. By analyzing the Lyapunov exponent, invariant measure and singular boundary theory, some new criteria ensuring stochastic stability and bifurcation are obtained. Numerical simulation results are given to support the theoretical predictions.

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