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Volumn 10, Issue 2, 2009, Pages 824-839

Hopf bifurcation analysis in a fluid flow model of Internet congestion control algorithm

Author keywords

Congestion control; Hopf bifurcation; Nonlinear dynamics; Stability; Time delay system

Indexed keywords

BIFURCATION (MATHEMATICS); DELAY CONTROL SYSTEMS; DYNAMICS; ELECTRIC NETWORK ANALYSIS; FLOW OF FLUIDS; INTERNET; SYSTEM STABILITY; TIME DELAY;

EID: 56549099967     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.11.006     Document Type: Article
Times cited : (43)

References (34)
  • 2
    • 0036956148 scopus 로고    scopus 로고
    • X.F. Wang, Controlling bifurcation and chaos in Internet congestion control system, in: Proc. 4th World Cong. on Intelligent Control and Automation, Shanghai, China, 2002, p. 573
    • X.F. Wang, Controlling bifurcation and chaos in Internet congestion control system, in: Proc. 4th World Cong. on Intelligent Control and Automation, Shanghai, China, 2002, p. 573
  • 3
    • 0027647490 scopus 로고
    • Random early detection gateways for congestion avoidance
    • Floyd S., and Jacobson V. Random early detection gateways for congestion avoidance. IEEE Trans. Netw. 1 (1993) 397-413
    • (1993) IEEE Trans. Netw. , vol.1 , pp. 397-413
    • Floyd, S.1    Jacobson, V.2
  • 5
    • 0033283294 scopus 로고    scopus 로고
    • Resource pricing and the evolution of congestion control
    • Gibbens R.J., and Kelly F. Resource pricing and the evolution of congestion control. Automatica 35 (1999) 1969-1985
    • (1999) Automatica , vol.35 , pp. 1969-1985
    • Gibbens, R.J.1    Kelly, F.2
  • 6
    • 0034776998 scopus 로고    scopus 로고
    • Analysis and design of adaptive virtual queue algorithm for active queue management
    • Kunniyur S., and Srikant R. Analysis and design of adaptive virtual queue algorithm for active queue management. ACM Comput. Commun. Rev. 31 (2001) 123-134
    • (2001) ACM Comput. Commun. Rev. , vol.31 , pp. 123-134
    • Kunniyur, S.1    Srikant, R.2
  • 7
    • 0033884567 scopus 로고    scopus 로고
    • A. Veres, M. Boda, The chaotic nature of TCP congestion control, in: Proc. IEEE INFOCOM, Tel, Aviv, 2000, pp. 1715-1723
    • A. Veres, M. Boda, The chaotic nature of TCP congestion control, in: Proc. IEEE INFOCOM, Tel, Aviv, 2000, pp. 1715-1723
  • 8
    • 11844291976 scopus 로고    scopus 로고
    • Nonlinear instabilities in TCP-RED
    • Ranjan P., Abed E.H., and La R.J. Nonlinear instabilities in TCP-RED. IEEE Trans. Netw. 12 (2004) 1079-1092
    • (2004) IEEE Trans. Netw. , vol.12 , pp. 1079-1092
    • Ranjan, P.1    Abed, E.H.2    La, R.J.3
  • 9
    • 3042692754 scopus 로고    scopus 로고
    • Instability of a tandem network and its propagation under RED
    • La R.J. Instability of a tandem network and its propagation under RED. IEEE Trans. Automat. Control 49 (2004) 1006-1111
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 1006-1111
    • La, R.J.1
  • 10
    • 34547332985 scopus 로고    scopus 로고
    • M. Liu, H. Zhang, Lj. Trajković, Stroboscopic model and bifurcations in TCP/RED, in: Proc. IEEE ISCAS, Kobe, Japan, 2005, pp. 2060-2063
    • M. Liu, H. Zhang, Lj. Trajković, Stroboscopic model and bifurcations in TCP/RED, in: Proc. IEEE ISCAS, Kobe, Japan, 2005, pp. 2060-2063
  • 11
    • 34547281195 scopus 로고    scopus 로고
    • M. Liu, A. Marciello, M. di Bernardo, Lj. Trajković, Discontinuity-induced bifurcations in TCP/RED communication algorithms, in: Proc. IEEE Int. Sym. Circuits and Systems, Kos, Greece, 2006, pp. 2629-2632
    • M. Liu, A. Marciello, M. di Bernardo, Lj. Trajković, Discontinuity-induced bifurcations in TCP/RED communication algorithms, in: Proc. IEEE Int. Sym. Circuits and Systems, Kos, Greece, 2006, pp. 2629-2632
  • 12
    • 0037025003 scopus 로고    scopus 로고
    • A global stability result in network flow control
    • Paganini F. A global stability result in network flow control. Systems Control Lett. 40 (2002) 165-172
    • (2002) Systems Control Lett. , vol.40 , pp. 165-172
    • Paganini, F.1
  • 13
    • 0035707291 scopus 로고    scopus 로고
    • F. Paganini, J. Doyle, S. Low, Scalable laws for stable network congestion control, in: Proc. IEEE Conf. on Decision and Control, Orlando, USA, 2001, pp. 185-190
    • F. Paganini, J. Doyle, S. Low, Scalable laws for stable network congestion control, in: Proc. IEEE Conf. on Decision and Control, Orlando, USA, 2001, pp. 185-190
  • 14
    • 0142094204 scopus 로고    scopus 로고
    • Linear stability of TCP/RED and scalable control
    • Low S., Paganini F., Wang J.T., and Doyle J.C. Linear stability of TCP/RED and scalable control. Comput. Netw. 43 (2003) 633-647
    • (2003) Comput. Netw. , vol.43 , pp. 633-647
    • Low, S.1    Paganini, F.2    Wang, J.T.3    Doyle, J.C.4
  • 15
    • 0035017229 scopus 로고    scopus 로고
    • C.V. Hollot, V. Misra, D. Towsley, W.B. Gong, A control theoretic analysis of RED, in: Proc. IEEE INFOCOM, vol. 3, Anchorage, USA, 2001, pp. 1510-1519
    • C.V. Hollot, V. Misra, D. Towsley, W.B. Gong, A control theoretic analysis of RED, in: Proc. IEEE INFOCOM, vol. 3, Anchorage, USA, 2001, pp. 1510-1519
  • 16
    • 0035713251 scopus 로고    scopus 로고
    • C.V. Hollo, Y. Chait, Nonlinear stability analysis for a class of TCP/AQM networks, in: Proc. IEEE Conference on Decision and Control, Piscataway, USA, 2001, pp. 2309-2314
    • C.V. Hollo, Y. Chait, Nonlinear stability analysis for a class of TCP/AQM networks, in: Proc. IEEE Conference on Decision and Control, Piscataway, USA, 2001, pp. 2309-2314
  • 17
    • 0036600891 scopus 로고    scopus 로고
    • Analysis and design of controllers for AQM routers supporting TCP flows
    • Hollot C.V., Misra V., Towsley D., and Gong W.B. Analysis and design of controllers for AQM routers supporting TCP flows. IEEE Trans. Automat. Control 47 (2002) 945-959
    • (2002) IEEE Trans. Automat. Control , vol.47 , pp. 945-959
    • Hollot, C.V.1    Misra, V.2    Towsley, D.3    Gong, W.B.4
  • 18
    • 24344439719 scopus 로고    scopus 로고
    • A nonlinear control theoretic analysis to TCP-RED system
    • Ren F., Lin C., and Wei B. A nonlinear control theoretic analysis to TCP-RED system. Comput. Netw. 49 (2005) 580-592
    • (2005) Comput. Netw. , vol.49 , pp. 580-592
    • Ren, F.1    Lin, C.2    Wei, B.3
  • 19
    • 33144485119 scopus 로고    scopus 로고
    • Global stability conditions for rate control with arbitrary communication delays
    • Ranjan P., La R.J., and Abed E.H. Global stability conditions for rate control with arbitrary communication delays. IEEE Trans. Netw. 14 (2006) 94-107
    • (2006) IEEE Trans. Netw. , vol.14 , pp. 94-107
    • Ranjan, P.1    La, R.J.2    Abed, E.H.3
  • 20
    • 18444371484 scopus 로고    scopus 로고
    • A general stability criterion for congestion control with diverse communication delays
    • Tian Y.P. A general stability criterion for congestion control with diverse communication delays. Automatica 41 (2005) 1255-1262
    • (2005) Automatica , vol.41 , pp. 1255-1262
    • Tian, Y.P.1
  • 21
    • 18444397639 scopus 로고    scopus 로고
    • Stability analysis and design of the second-order congestion control for networks with heterogeneous delays
    • Tian Y.P. Stability analysis and design of the second-order congestion control for networks with heterogeneous delays. IEEE Trans. Netw. 13 (2005) 1082-1093
    • (2005) IEEE Trans. Netw. , vol.13 , pp. 1082-1093
    • Tian, Y.P.1
  • 22
    • 3142647587 scopus 로고    scopus 로고
    • Stability of the Internet congestion control with diverse delays
    • Tian Y.P. Stability of the Internet congestion control with diverse delays. Automatica 40 (2004) 1533-1541
    • (2004) Automatica , vol.40 , pp. 1533-1541
    • Tian, Y.P.1
  • 23
    • 33745604671 scopus 로고    scopus 로고
    • Global stability of Internet controllers with heterogeneous delays
    • Ying L., Dullerud G.E., and Srikant R. Global stability of Internet controllers with heterogeneous delays. IEEE Trans. Netw. 14 (2006) 579-590
    • (2006) IEEE Trans. Netw. , vol.14 , pp. 579-590
    • Ying, L.1    Dullerud, G.E.2    Srikant, R.3
  • 24
    • 24144475567 scopus 로고    scopus 로고
    • Stability analysis of a fluid flow model for TCP like behavior
    • Michiels W., and Niculescu S.I. Stability analysis of a fluid flow model for TCP like behavior. Internat. J. Bifur. Chaos 15 (2005) 2277-2282
    • (2005) Internat. J. Bifur. Chaos , vol.15 , pp. 2277-2282
    • Michiels, W.1    Niculescu, S.I.2
  • 26
    • 0041621579 scopus 로고    scopus 로고
    • Hopf bifurcation in an Internet congestion control model
    • Li C., Chen G., Liao X., and Yu J. Hopf bifurcation in an Internet congestion control model. Chaos Solitons Fractals 19 (2004) 853-862
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 853-862
    • Li, C.1    Chen, G.2    Liao, X.3    Yu, J.4
  • 27
    • 18444365288 scopus 로고    scopus 로고
    • Hopf bifurcation in REM algorithm with communication delay
    • Yang H.Y., and Tian Y.P. Hopf bifurcation in REM algorithm with communication delay. Chaos Solitons Fractals 25 (2005) 1093-1105
    • (2005) Chaos Solitons Fractals , vol.25 , pp. 1093-1105
    • Yang, H.Y.1    Tian, Y.P.2
  • 28
    • 26244431759 scopus 로고    scopus 로고
    • Local bifurcation analysis of some dual congestion control algorithms
    • Raina G. Local bifurcation analysis of some dual congestion control algorithms. IEEE Trans. Automat. Control 50 (2005) 1135-1146
    • (2005) IEEE Trans. Automat. Control , vol.50 , pp. 1135-1146
    • Raina, G.1
  • 29
    • 37849188485 scopus 로고    scopus 로고
    • TCP: Local stability and Hopf bifurcation
    • Raina G., and Heckmann O. TCP: Local stability and Hopf bifurcation. Performance Evaluation 64 (2007) 266-275
    • (2007) Performance Evaluation , vol.64 , pp. 266-275
    • Raina, G.1    Heckmann, O.2
  • 30
    • 43649092222 scopus 로고    scopus 로고
    • S. Guo, X. Liao, C. Li, Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay, Nonlinear Anal. Real World Appl. (2007), in press (doi:10.1016/j.nonrwa.2007.03.06)
    • S. Guo, X. Liao, C. Li, Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay, Nonlinear Anal. Real World Appl. (2007), in press (doi:10.1016/j.nonrwa.2007.03.06)
  • 31
    • 0033651669 scopus 로고    scopus 로고
    • V. Misra, W.B. Gong, D. Towsley, Fluid based analysis of an AQM routers supporting TCP flows with an application to RED, in: Proc. SIGCOMM, Stockholm, Sweden, 2000, pp. 151-160
    • V. Misra, W.B. Gong, D. Towsley, Fluid based analysis of an AQM routers supporting TCP flows with an application to RED, in: Proc. SIGCOMM, Stockholm, Sweden, 2000, pp. 151-160
  • 32
    • 0000209631 scopus 로고
    • Discrete delay, distributed delay and stability switches
    • Cooke K., and Grossman Z. Discrete delay, distributed delay and stability switches. J. Math. Anal. Appl. 86 (1982) 592-627
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 592-627
    • Cooke, K.1    Grossman, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.