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Volumn 10, Issue 5, 2009, Pages 2873-2883

Delay induced Hopf bifurcation in a dual model of Internet congestion control algorithm

Author keywords

Congestion control; Hopf bifurcation; Perturbation method; Stability analysis

Indexed keywords

BIFURCATING PERIODIC SOLUTIONS; BIFURCATION PARAMETERS; COMMUNICATION DELAYS; CONGESTION CONTROL; CRITICAL VALUES; DUAL MODELS; FLOQUET EXPONENTS; INTERNET CONGESTION CONTROLS; NUMERICAL SIMULATIONS; ORDER DELAYS; PERIODIC SOLUTIONS; PERTURBATION METHOD; POINCARE; SERIES EXPANSIONS; STABILITY ANALYSIS; TIME-DELAY SYSTEMS;

EID: 64049113735     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.09.007     Document Type: Article
Times cited : (33)

References (33)
  • 1
    • 0032027247 scopus 로고    scopus 로고
    • Rate control in communication networks: shadow prices, proportional fairness and stability
    • Kelly F.P., Maulloo A., and Tan D. Rate control in communication networks: shadow prices, proportional fairness and stability. J. Oper. Res. Soc. 49 (1998) 237-252
    • (1998) J. Oper. Res. Soc. , vol.49 , pp. 237-252
    • Kelly, F.P.1    Maulloo, A.2    Tan, D.3
  • 2
    • 29844437082 scopus 로고    scopus 로고
    • A globally stable adaptive congestion control scheme for internet-style networks with delay
    • Alpcan T., and Başar T. A globally stable adaptive congestion control scheme for internet-style networks with delay. IEEE/ACM Trans. Netw. 13 6 (2005) 1261-1274
    • (2005) IEEE/ACM Trans. Netw. , vol.13 , Issue.6 , pp. 1261-1274
    • Alpcan, T.1    Başar, T.2
  • 3
    • 28044456335 scopus 로고    scopus 로고
    • Exponential-RED: A stabilizing AQM scheme for low- and high-speed TCP protocols
    • Liu S., Başar T., and Srikant R. Exponential-RED: A stabilizing AQM scheme for low- and high-speed TCP protocols. IEEE/ACM Trans. Netw. 13 5 (2005) 1068-1081
    • (2005) IEEE/ACM Trans. Netw. , vol.13 , Issue.5 , pp. 1068-1081
    • Liu, S.1    Başar, T.2    Srikant, R.3
  • 4
    • 0035699247 scopus 로고    scopus 로고
    • End-to-end congestion control for the Internet: Delays and stability
    • Johari R., and Tan D. End-to-end congestion control for the Internet: Delays and stability. IEEE/ACM Trans. Netw. 9 6 (2001) 818-832
    • (2001) IEEE/ACM Trans. Netw. , vol.9 , Issue.6 , pp. 818-832
    • Johari, R.1    Tan, D.2
  • 5
    • 0036601059 scopus 로고    scopus 로고
    • Stability of distributed congestion control with heterogeneous feedback delays
    • Massoulie L. Stability of distributed congestion control with heterogeneous feedback delays. IEEE Trans. Automat. Control. 47 6 (2002) 895-902
    • (2002) IEEE Trans. Automat. Control. , vol.47 , Issue.6 , pp. 895-902
    • Massoulie, L.1
  • 6
    • 1542318552 scopus 로고    scopus 로고
    • A survey and some new results
    • Controlling the Internet:, Maui, HI, December
    • S. Liu, T. Başar, R. Srikant, Controlling the Internet: A survey and some new results, in: Proc. 42nd IEEE Conf. Decision and Control, Maui, HI, December 2003, pp. 3048-3057
    • (2003) Proc. 42nd IEEE Conf. Decision and Control , pp. 3048-3057
    • Liu, S.1    Başar, T.2    Srikant, R.3
  • 7
    • 33244465225 scopus 로고    scopus 로고
    • Asymptotic stability of congestion control systems with multiple sources
    • Sichitiu M.L., and Bauer P.H. Asymptotic stability of congestion control systems with multiple sources. IEEE Trans. Automat. Control. 51 2 (2006) 292-298
    • (2006) IEEE Trans. Automat. Control. , vol.51 , Issue.2 , pp. 292-298
    • Sichitiu, M.L.1    Bauer, P.H.2
  • 8
    • 33144485119 scopus 로고    scopus 로고
    • Global stability conditions for rate control with arbitrary communication delay
    • Ranjan P., La R.J., and Abed E.H. Global stability conditions for rate control with arbitrary communication delay. IEEE/ACM Trans. Netw. 14 1 (2006) 94-107
    • (2006) IEEE/ACM Trans. Netw. , vol.14 , Issue.1 , pp. 94-107
    • Ranjan, P.1    La, R.J.2    Abed, E.H.3
  • 9
    • 33847010633 scopus 로고    scopus 로고
    • Local and global stability of TCP-newReno/RED with many flows
    • Wang X., and Eun D.Y. Local and global stability of TCP-newReno/RED with many flows. Comput. Commun. 30 5 (2007) 1091-1105
    • (2007) Comput. Commun. , vol.30 , Issue.5 , pp. 1091-1105
    • Wang, X.1    Eun, D.Y.2
  • 10
    • 0033884567 scopus 로고    scopus 로고
    • The Chaotic Nature of TCP Congestion Control
    • Tel, Aviv
    • A. Veres, M. Boda, The Chaotic Nature of TCP Congestion Control, in: Proc. IEEE INFOCOM, Tel, Aviv, 2000, pp. 1715-1723
    • (2000) Proc. IEEE INFOCOM , pp. 1715-1723
    • Veres, A.1    Boda, M.2
  • 11
    • 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. on Netw. 12 6 (2004) 1079-1092
    • (2004) IEEE Trans. on Netw. , vol.12 , Issue.6 , pp. 1079-1092
    • Ranjan, P.1    Abed, E.H.2    La, R.J.3
  • 12
    • 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 6 (2004) 1006-1011
    • (2004) IEEE Trans. Automat. control , vol.49 , Issue.6 , pp. 1006-1011
    • La, R.J.1
  • 13
    • 34547332985 scopus 로고    scopus 로고
    • Stroboscopic model and bifurcations in TCP/RED
    • Kobe, Japan
    • M. Liu, H. Zhang, Lj. Trajković, Stroboscopic model and bifurcations in TCP/RED, in: Proc. IEEE ISCAS, Kobe, Japan, 2005, pp. 2060-2063
    • (2005) Proc. IEEE ISCAS , pp. 2060-2063
    • Liu, M.1    Zhang, H.2    Trajković, L.3
  • 15
    • 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 4 (2004) 853-862
    • (2004) Chaos Solitons Fractals , vol.19 , Issue.4 , pp. 853-862
    • Li, C.1    Chen, G.2    Liao, X.3    Yu, J.4
  • 16
    • 18444365288 scopus 로고    scopus 로고
    • Hopf bifurcation in REM algorithm with communication delay
    • Yang H.-Y., Tian Y., and -P. Hopf bifurcation in REM algorithm with communication delay. Chaos Solitons Fractals 25 5 (2005) 1093-1105
    • (2005) Chaos Solitons Fractals , vol.25 , Issue.5 , pp. 1093-1105
    • Yang, H.-Y.1    Tian, Y.,-P.2
  • 17
    • 27144545382 scopus 로고    scopus 로고
    • Delay induced Hopf bifurcation in a simplified network congestion control model
    • Wang Z., and Chu T. Delay induced Hopf bifurcation in a simplified network congestion control model. Chaos Solitons Fractals 28 1 (2006) 161-172
    • (2006) Chaos Solitons Fractals , vol.28 , Issue.1 , pp. 161-172
    • Wang, Z.1    Chu, T.2
  • 18
    • 43649092222 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay
    • Guo S., Liao X., and Li C. Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay. Nonlinear Anal. RWA 9 4 (2008) 1292-1309
    • (2008) Nonlinear Anal. RWA , vol.9 , Issue.4 , pp. 1292-1309
    • Guo, S.1    Liao, X.2    Li, C.3
  • 19
    • 43649100059 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for Hopf bifurcation in exponential RED algorithm with communication delay
    • Guo S., Liao X., and Li C. Necessary and sufficient conditions for Hopf bifurcation in exponential RED algorithm with communication delay. Nonlinear Anal. RWA 9 4 (2008) 1768-1793
    • (2008) Nonlinear Anal. RWA , vol.9 , Issue.4 , pp. 1768-1793
    • Guo, S.1    Liao, X.2    Li, C.3
  • 20
    • 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 8 (2005) 1135-1146
    • (2005) IEEE Trans. Automat. Control , vol.50 , Issue.8 , pp. 1135-1146
    • Raina, G.1
  • 22
    • 0003331476 scopus 로고
    • Retarded dynamical systems: Stability and characteristic functions
    • Stepan G. Retarded dynamical systems: Stability and characteristic functions. Essex: Longman Scientific and Technical (1989)
    • (1989) Essex: Longman Scientific and Technical
    • Stepan, G.1
  • 23
    • 21844486044 scopus 로고
    • Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
    • Campbell S.A., Belair J., Ohira T., and Milton J. Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. Chaos 5 4 (1995) 640-645
    • (1995) Chaos , vol.5 , Issue.4 , pp. 640-645
    • Campbell, S.A.1    Belair, J.2    Ohira, T.3    Milton, J.4
  • 24
    • 0842300624 scopus 로고    scopus 로고
    • Remarks on the perturbations in solving the second-order delay differential equations
    • Wang H.L., and Hu H.Y. Remarks on the perturbations in solving the second-order delay differential equations. Nonlinear Dynam. 33 4 (2003) 379-398
    • (2003) Nonlinear Dynam. , vol.33 , Issue.4 , pp. 379-398
    • Wang, H.L.1    Hu, H.Y.2
  • 25
    • 27744531467 scopus 로고    scopus 로고
    • Periodic solutions and bifurcations of delay-differential equations
    • He J.H. Periodic solutions and bifurcations of delay-differential equations. Phys. Lett. A 347 4-6 (2005) 228-230
    • (2005) Phys. Lett. A , vol.347 , Issue.4-6 , pp. 228-230
    • He, J.H.1
  • 26
    • 64049113224 scopus 로고    scopus 로고
    • Singular perturbation method for nonlinear dynamic systems with time delay
    • in press
    • H.Y. Hu, Z.H. Wang, Singular perturbation method for nonlinear dynamic systems with time delay, Chaos Solitons Fractals, 2007 (in press)
    • (2007) Chaos Solitons Fractals
    • Hu, H.Y.1    Wang, Z.H.2
  • 27
    • 0019070376 scopus 로고
    • A Poincare-Lindstedt approach to bifurcation problems for differential-delay equations
    • Casal A., and Freedman M. A Poincare-Lindstedt approach to bifurcation problems for differential-delay equations. IEEE Trans. Automat. Control 25 (1980) 967-973
    • (1980) IEEE Trans. Automat. Control , vol.25 , pp. 967-973
    • Casal, A.1    Freedman, M.2
  • 28
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • Yu P. Computation of normal forms via a perturbation technique. J. Sound Vibration 211 1 (1998) 19-38
    • (1998) J. Sound Vibration , vol.211 , Issue.1 , pp. 19-38
    • Yu, P.1
  • 29
    • 0035525675 scopus 로고    scopus 로고
    • Symbolic computation of normal forms for resonant double Hopf bifurcations using multiple time scales
    • Yu P. Symbolic computation of normal forms for resonant double Hopf bifurcations using multiple time scales. J. Sound Vibration 247 4 (2001) 615-632
    • (2001) J. Sound Vibration , vol.247 , Issue.4 , pp. 615-632
    • Yu, P.1
  • 30
    • 0036187827 scopus 로고    scopus 로고
    • Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
    • Yu P. Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Nonlinear Dynam. 27 (2001) 19-53
    • (2001) Nonlinear Dynam. , vol.27 , pp. 19-53
    • Yu, P.1
  • 31
    • 33846883739 scopus 로고    scopus 로고
    • Hopf bifurcation formula for first order differential-delay equations
    • Rand R., and Verdugo A. Hopf bifurcation formula for first order differential-delay equations. Commun. Nonlinear Sci. Numer. Simul. 12 (2007) 859-864
    • (2007) Commun. Nonlinear Sci. Numer. Simul. , vol.12 , pp. 859-864
    • Rand, R.1    Verdugo, A.2
  • 32
    • 0037434955 scopus 로고    scopus 로고
    • A perturbation method for computing the simplest normal forms of dynamical systems
    • Yu P., and Leung A.Y.T. A perturbation method for computing the simplest normal forms of dynamical systems. J. Sound Vibration 261 (2003) 123-151
    • (2003) J. Sound Vibration , vol.261 , pp. 123-151
    • Yu, P.1    Leung, A.Y.T.2
  • 33
    • 22244473030 scopus 로고    scopus 로고
    • Delay induced periodicity in a neural netlet of excitation and inhibition
    • Gopalsamy K. Delay induced periodicity in a neural netlet of excitation and inhibition. Physica D 89 1 (1996) 395-426
    • (1996) Physica D , vol.89 , Issue.1 , pp. 395-426
    • Gopalsamy, K.1


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