Hopf bifurcation control in the XCP for the Internet congestion control system
Tài liệu tham khảo
Jacobson, 1998, Congestion avoidance and control, ACM SIGCOMM Comput. Commun. Rev., 18, 314, 10.1145/52325.52356
Floyd, 1993, Random early detection gateways for congestion avoidance, IEEE/ACM Trans. Netw., 1, 397, 10.1109/90.251892
Misra, 2000, Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED, Proc. ACM SIGCOMM, 151, 10.1145/347057.347421
Hepanha, 2001, Hybrid modeling of TCP congestion control, Lect. Notes Comput. Sci., 2034, 291, 10.1007/3-540-45351-2_25
Hollot, 2001, A control theoretic analysis of RED, Proc. IEEE INFOCOM
Low, 2002, Dynamics of TCP/RED and a scalable control, Proc. IEEE INFOCOM
Katabi, 2002, Congestion control for high bandwidth-delay product networks, Proc. ACM SIGCOMM, 10.1145/964725.633035
N. Dukkipati, M. Kobayashi, R. Zhang-Shen, N. McKeown, Processor sharing flows in the internet, in: Thirteenth International Workshop on Quality of Service, 2005.
S. Floyd, HighSpeed TCP for large congestion windows, (2003) RFC Editor 3649.
Jin, 2004, FAST TCP: motivation, architecture, algorithms, performance, Proc. IEEE INFOCOM
Kelly, 2003, Scalable TCP: improving performance in highspeed wide area networks, Comput. Commun. Rev., 32, 10.1145/956981.956989
Veres, 2000, The chaotic nature of TCP congestion control, Proc. IEEE INFOCOM, 3, 1715
Massoulie, 2002, Stability of distributed congestion control with heterogeneous feedback delays, IEEE Trans. Automat. Control, 47, 895, 10.1109/TAC.2002.1008356
Walsh, 2002, Stability analysis of network control systems, IEEE Control Syst. Technol., 10, 438, 10.1109/87.998034
Kelly, 2003, Fairness and stability of end-to-end congestion control, Eur. J. Cont., 9, 149
Srikant, 2004
Ranjan, 2004, Nonlinear instabilities in TCP-RED, IEEE/ACM Trans. Netw., 12, 1079, 10.1109/TNET.2004.838600
La, 2004, Instability of a tandem network and its propagation under RED, IEEE Trans. Automat. Control, 49, 1006, 10.1109/TAC.2004.829635
Li, 2004, Hopf bifurcation in an internet congestion control model, Chaos Solitons Fractals, 19, 853, 10.1016/S0960-0779(03)00269-8
Yu, 2003, Bifurcation dynamics in control systems, 99
Yu, 2006, Bifurcation, limit cycle and chaos of nonlinear dynamical systems, 1
Chen, 2005, Hopf bifurcation control for an internet congestion model, Int. J. Bifur. Chaos, 15, 2643, 10.1142/S0218127405013587
Yu, 2004, Hopf bifurcation control using nonlinear feedback with polynomial functions, Int. J. Bifur. Chaos, 14, 1683, 10.1142/S0218127404010291
Lü, 2004, Characterizing the synchronization of small world dynamical networks, IEEE Trans. Circuits Syst. Part I, 51, 787, 10.1109/TCSI.2004.823672
Yang, 2005, Hopf bifurcation in REM algorithm with communication delay, Chaos Solitons Fractals, 25, 1093, 10.1016/j.chaos.2004.11.085
Raina, 2005, Local bifurcation analysis for some dual congestion control algorithms, IEEE Trans. Automat. Control, 50, 1135, 10.1109/TAC.2005.852566
Raina, 2007, TCP: local stability and Hopf bifurcation, Perform. Eval., 64, 266, 10.1016/j.peva.2006.05.005
Liu, 2005, Stroboscopic model and bifurcations in TCP/RED, Proc. IEEE ISCAS, 2060
Liu, 2006, Discontinuity-induced bifurcations in TCP/RED communication algorithms, Proc. IEEE Int. Sym. Circuits and Systems, 2629
Wang, 2006, Delay induced Hopf bifurcation in a simplified network congestion control model, Chaos Solitons Fractals, 28, 161, 10.1016/j.chaos.2005.05.047
Guo, 2008, Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay, Nonlinear Analysis: RWA, 9, 1292, 10.1016/j.nonrwa.2007.03.006
Guo, 2008, Necessary and sufficient conditions for Hopf bifurcation in an exponential RED algorithm with communication delay, Nonlinear Analysis: RWA, 9, 1768, 10.1016/j.nonrwa.2007.05.014
Ding, 2009, Hopf bifurcation analysis in a fluid flow model of Internet congestion, Nonlinear Analysis: RWA, 10, 824, 10.1016/j.nonrwa.2007.11.006
Ding, 2009, Delay induced Hopf bifurcation in a dual model of Internet congestion control algorithm, Nonlinear Analysis: RWA, 10, 2873, 10.1016/j.nonrwa.2008.09.007
Liu, 2010, Controlling bifurcations and chaos in TCP-UDP-RED, Nonlinear Analysis: RWA, 11, 1491, 10.1016/j.nonrwa.2009.03.005
Liu, 2011, Stability and Hopf bifurcation analysis in a TCP fluid model, Nonlinear Analysis: RWA, 12, 353, 10.1016/j.nonrwa.2010.06.021
Liu, 2008, Controlling bifurcations and chaos in small-world networks, Chin. Phys. B, 17, 2405, 10.1088/1674-1056/17/7/013
Rezaie, 2010, Hopf bifurcation analysis on an Internet congestion control system of arbitrary dimension with communication delay, Nonlinear Analysis: RWA, 11, 3842, 10.1016/j.nonrwa.2010.02.014
Chen, 2011, A robust adaptive congestion control strategy for large scale networks with differentiated services traffic, Automatica, 47, 26, 10.1016/j.automatica.2010.08.019
Guo, 2010, Hopf bifurcation analysis for congestion control with heterogeneous delays, Nonlinear Analysis: RWA, 11, 3077, 10.1016/j.nonrwa.2009.10.027
Zheng, 2010, Stability and Hopf bifurcation of a class of TCP/AQM networks, Nonlinear Analysis: RWA, 11, 1552, 10.1016/j.nonrwa.2009.03.008
Pei, 2011, Dynamics of the Internet TCPRED congestion control system, Nonlinear Analysis: RWA, 12, 947, 10.1016/j.nonrwa.2010.08.018
Gao, 2012, A directed weighted complex network for characterizing chaotic dynamics from time series, Nonlinear Analysis: RWA, 13, 947, 10.1016/j.nonrwa.2011.08.029
Huang, 2011, The stochastic stability and bifurcation behavior of an Internet congestion control model, Math. Comput. Model., 54, 1954, 10.1016/j.mcm.2011.05.002
Cooke, 1982, Discrete delay, distributed delay and stability switches, J. Math. Anal. Appl., 86, 592, 10.1016/0022-247X(82)90243-8
Hassard, 1981
Awrejcewicz, 1989
Awrejcewicz, 1991
Awrejcewicz, 2003
Hale, 1977