Abstract
A class of window-based network congestion control system with communication delays is studied. By analyzing the network system with communication delay, a critical value of the window size to ensure the stability of network is obtained, and a critical value of the delay to ensure the system stability is presented. Enlarging the delay across the critical value, we find that the congestion control system exhibits Hopf bifurcation.
This work is supported by the National Postdoctoral Science Foundation of China (under the grant 20060390972), and the Science Foundation of Office of Education of Shandong Province (under the grant J06G03) of China.
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Yang, Hy., Wang, Fs., Zhu, Xl., Zhang, Sy. (2007). Dynamics of Window-Based Network Congestion Control System. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_30
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DOI: https://doi.org/10.1007/978-3-540-72383-7_30
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