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Volume 32 Issue 4
Dec.  2010
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Hou Ping, Wang Zhi-quan. Stability and Hopf Bifurcation of a Fluid-Flow Model for Congestion Control in Wireless Networks[J]. Journal of Electronics & Information Technology, 2010, 32(4): 983-987. doi: 10.3724/SP.J.1146.2009.00358
Citation: Hou Ping, Wang Zhi-quan. Stability and Hopf Bifurcation of a Fluid-Flow Model for Congestion Control in Wireless Networks[J]. Journal of Electronics & Information Technology, 2010, 32(4): 983-987. doi: 10.3724/SP.J.1146.2009.00358

Stability and Hopf Bifurcation of a Fluid-Flow Model for Congestion Control in Wireless Networks

doi: 10.3724/SP.J.1146.2009.00358
  • Received Date: 2009-03-19
  • Rev Recd Date: 2009-09-28
  • Publish Date: 2010-04-19
  • This paper focuses on the Hopf bifurcation analysis of a fluid-flow model with time-delay for the congestion control algorithm in the wireless networks. By choosing the communication delay as a bifurcation parameter, the model exhibits of Hopf bifurcation are proved. The formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are obtained by applying the center manifold theorem and the normal form theory. Finally, a numerical simulation is presented to verify the theoretical results.
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