Complex Dynamics in the Delayed Stochastic AIMD/RED System

Chapter
First Online:
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 126)

Abstract

In the paper, we explore the stochastic bifurcation of the the heterogeneous delayed AIMD/RED system according to the qualitative changes in Invariant measure and stationary probability density of system response. Some new criteria ensuring stability and stochastic bifurcation are obtained.

Keywords

Equilibrium Point Invariant Measure Hopf Bifurcation Transmission Control Protocol Stochastic Stability 
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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsWuzhou UniversityWuzhouP.R. China

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