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• W2007276503 abstract "In this paper, we investigated Hopf bifurcation by analyzing the distributed ranges of eigenvalues of characteristic linearized equation. Using communication delay as the bifurcation parameter, linear stability criteria dependent on communication delay have also been derived, and, furthermore, the direction of Hopf bifurcation as well as stability of periodic solution for the exponential RED algorithm with communication delay is studied. We find that the Hopf bifurcation occurs when the communication delay passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally, a numerical simulation is presented to verify the theoretical results." @default.
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• W2007276503 date "2008-09-01" @default.
• W2007276503 modified "2023-10-14" @default.
• W2007276503 title "Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay" @default.
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• W2007276503 doi "https://doi.org/10.1016/j.nonrwa.2007.03.006" @default.
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