Dynamics of a Discrete Internet Congestion Control Model | Zendy

Yingguo Li | Zendy

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Dynamics of a Discrete Internet Congestion Control Model

Author(s) -

Yingguo Li

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/628369

Subject(s) - bifurcation , stability (learning theory) , mathematics , sequence (biology) , control theory (sociology) , network congestion , computer science , discrete time and continuous time , dynamics (music) , link (geometry) , control (management) , physics , network packet , computer network , statistics , combinatorics , nonlinear system , quantum mechanics , machine learning , artificial intelligence , biology , acoustics , genetics

We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation. By choosing the time delay as a bifurcation parameter, we prove that Neimark-Sacker bifurcations occur when the delay passes a sequence of critical values. Then, the explicit algorithm for determining the direction of the Neimark-Sacker bifurcations and the stability of the bifurcating periodic solutions is derived. Finally, some numerical simulations are given to verify the theoretical analysis

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