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• W2072556802 abstract "A typical objective of bifurcation control is to delay the onset of undesirable bifurcation. In this paper, the problem of Hopf bifurcation control in a second-order congestion control model is considered. In particular, a suitable Hopf bifurcation is created at a desired location with preferred properties and a dynamic delayed feedback controller is developed for the creation of the Hopf bifurcation. With this controller, one can increase the critical value of the communication delay, and thus guarantee a stationary data sending rate for larger delay. Furthermore, explicit formulae to determine the period and the direction of periodic solutions bifurcating from the equilibrium are obtained by applying perturbation approach. Finally, numerical simulation results are presented to show that the dynamic delayed feedback controller is efficient in controlling Hopf bifurcation." @default.
• W2072556802 created "2016-06-24" @default.
• W2072556802 creator A5022342592 @default.
• W2072556802 creator A5073705151 @default.
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• W2072556802 date "2008-10-09" @default.
• W2072556802 modified "2023-10-11" @default.
• W2072556802 title "Hopf bifurcation control in a congestion control model via dynamic delayed feedback" @default.
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• W2072556802 doi "https://doi.org/10.1063/1.2998220" @default.
• W2072556802 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19123614" @default.
• W2072556802 hasPublicationYear "2008" @default.
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