2007/12/21 by Da‐Wei Ding, Jie Zhu, Ding, Dawei +4
Computer Science · #FOS: Computer and information sciences #Network Security and Intrusion Detection #Network Traffic and Congestion Control #Networking and Internet Architecture (cs.NI) #Peer-to-Peer Network Technologies
paper · pdf · doi:10.48550/arxiv.0712.3641
openalex publication_date 2007/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper focuses on Hopf bifurcation control in a dual model of Internet congestion control algorithms which is modeled as a delay differential equation (DDE). By choosing communication delay as a bifurcation parameter, it has been demonstrated that the system loses stability and a Hopf bifurcation occurs when communication delay passes through a critical value. Therefore, a time-delayed feedback control method is applied to the system for delaying the onset of undesirable Hopf bifurcation. Theoretical analysis and numerical simulations confirm that the delayed feedback controller is efficient in controlling Hopf bifurcation in Internet congestion control system. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determinated by applying the center manifold theorem and the normal form theory.