Hopf bifurcation in an Internet congestion control model

Chaos, Solitons and Fractals

Volumn 19, Issue 4, 2004, Pages 853-862

  Li, Chunguang ^a   Chen, Guanrong ^b   Liao, Xiaofeng ^a   Yu, Juebang ^a  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); INTERNET; MATHEMATICAL MODELS; SIGNAL PROCESSING; THEOREM PROVING;

INTERNET CONGESTION CONTROL;

CONGESTION CONTROL (COMMUNICATION);

EID: 0041621579     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00269-8     Document Type: Article

References (11)

1. Kelly F.P., Maulloo A., Tan D.K.H. Rate control in communication networks: shadow prices, proportional fairness, and stability. J. Oper. Res. Soc. 49:1998;237-252.
2. Kelly F.P. Models for a self-managed Internet. Philos. Trans. Roy. Soc. A. 358:2000;2335-2348.
3. Johari R., Tan D. End-to-end congestion control for the Internet: delays and stability. IEEE/ACM Trans. Networking. 9:2001;818-832.
4. Massoulie L. Stability of distributed congestion control with heterogeneous feedback delays. IEEE Trans. AC. 47:2002;895-902.
5. Vinnicombe G. On the stability of end-to-end congestion control for the Internet, Technical Report CUED/FINFENG/TR. No. 398, December 2000.
6. Wang X.F., Chen G., Ko K.T. A stability theorem for Internet congestion control. Syst. Control Lett. 45:2002;81-85.
7. Paganini F., Doyle J., Low S. Scalable laws for stable network congestion control. Proc. IEEE Conf. Decision Control. 1:2001;185-190.
8. Deb S., Srikant R. Global stability of congestion controllers for the Internet. Proc. IEEE Conf. Decision Control. 4:2002;3626-3631.
9. Chen G. Controlling chaos and bifurcations in engineering systems. 1999;CRC Press, Boca Raton, FL, USA.
10. Hassard B.D., Kazarinoff N.D., Wan Y.H. Theory and applications of Hopf bifurcation. 1981;Cambridge University Press, Cambridge.
11. Athuraliya S., Lapsley D.E., Low S.H. Random early marking for Internet congestion control. Proc. IEEE GLOBECOM. 3:1999;1747-1752.