Controlling bifurcation and chaos in Internet congestion control model. (English) Zbl 1129.37362

Summary: The TCP end-to-end congestion control plus RED router queue management can be modeled as a discrete-time dynamical system, which can create complex bifurcating and chaotic behavior. Based on the basic features of the TCP-RED model, we investigate the possibility of controlling bifurcation and chaos in the system via several time-delayed feedback control strategies. Two adaptive parameter-tuning algorithms are proposed and evaluated.


37N99 Applications of dynamical systems
90B18 Communication networks in operations research


Full Text: DOI


[1] DOI: 10.1109/65.923940
[2] DOI: 10.1016/S1389-1286(00)00206-1
[3] Braden B., IETF Request for Comments (RFC) pp 2309–
[4] DOI: 10.1142/9789812798640
[5] Chen G., Controlling Chaos and Bifurcations in Engineering Systems (1999)
[6] Feng W., Proc. IEEE Infocom.
[7] Firoiu V., Proc. IEEE Infocom.
[8] DOI: 10.1109/90.251892
[9] DOI: 10.1109/35.917508
[10] DOI: 10.1007/3-540-45351-2_25
[11] Hollot C., Proc. IEEE Infocom.
[12] Hollot C., Proc. IEEE Infocom.
[13] DOI: 10.1016/S0375-9601(98)00673-2
[14] Mathis M., Comput. Commun. Rev. 27 pp 633–
[15] Ott T., Proc. IEEE Infocom.
[16] DOI: 10.1145/285243.285291
[17] Peterson L., Computer Networks: A System Approach 2 (1999) · Zbl 1005.68004
[18] Pyragas K., Phys. Lett. A 70 pp 421– · Zbl 1254.34083
[19] Ranjan P., Proc. IEEE Infocom.
[20] DOI: 10.1103/PhysRevE.50.3245
[21] Veres A., Proc. IEEE Infocom.
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