Dynamics of a Discrete Internet Congestion Control Model
Keyword(s):
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.
2012 ◽
Vol 204-208
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pp. 4586-4589
2007 ◽
Vol 17
(04)
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pp. 1367-1374
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2013 ◽
Vol 760-762
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pp. 2263-2266
Keyword(s):
2003 ◽
Vol 14
(1)
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pp. 3-14
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2021 ◽
Vol 26
(3)
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pp. 375-395
2008 ◽
Vol 18
(01)
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pp. 275-283
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