Please wait a minute...
Chin. Phys. B, 2009, Vol. 18(9): 3772-3776    DOI: 10.1088/1674-1056/18/9/026
GENERAL Prev   Next  

Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control

Liu Yu-Liang(刘玉良)a)b)†, Zhu Jie(朱杰)a), and Luo Xiao-Shu(罗晓曙)c)
a Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; b Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316004, China; c Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
Abstract  Based on the fluid flow time-delayed model proposed by Misra et al in internet congestion control, one modified time-delayed model is presented, where the influence of the communication delay on the router queue length is investigated in detail. The main advantage of the new model is that its stability domain is larger even without an extra controller. By linear stability analysis and numerical simulation, the effectiveness and feasibility of the novel model in internet congestion control are verified.
Keywords:  fluid flow model      congestion control      time delay      Hopf bifurcation  
Received:  15 January 2009      Revised:  07 March 2009      Accepted manuscript online: 
PACS:  47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking)  
  47.11.-j (Computational methods in fluid dynamics)  
  47.85.L- (Flow control)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (Grant No 21186000507).

Cite this article: 

Liu Yu-Liang(刘玉良), Zhu Jie(朱杰), and Luo Xiao-Shu(罗晓曙) Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control 2009 Chin. Phys. B 18 3772

[1] Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh-Rose and FitzHugh-Nagumo neurons with two time delays
Zhan-Hong Guo(郭展宏), Zhi-Jun Li(李志军), Meng-Jiao Wang(王梦蛟), and Ming-Lin Ma(马铭磷). Chin. Phys. B, 2023, 32(3): 038701.
[2] Effect of autaptic delay signal on spike-timing precision of single neuron
Xuan Ma(马璇), Yaya Zhao(赵鸭鸭), Yafeng Wang(王亚峰), Yueling Chen(陈月玲), and Hengtong Wang(王恒通). Chin. Phys. B, 2023, 32(3): 038703.
[3] The transition from conservative to dissipative flows in class-B laser model with fold-Hopf bifurcation and coexisting attractors
Yue Li(李月), Zengqiang Chen(陈增强), Mingfeng Yuan(袁明峰), and Shijian Cang(仓诗建). Chin. Phys. B, 2022, 31(6): 060503.
[4] Review on typical applications and computational optimizations based on semiclassical methods in strong-field physics
Xun-Qin Huo(火勋琴), Wei-Feng Yang(杨玮枫), Wen-Hui Dong(董文卉), Fa-Cheng Jin(金发成), Xi-Wang Liu(刘希望), Hong-Dan Zhang(张宏丹), and Xiao-Hong Song(宋晓红). Chin. Phys. B, 2022, 31(3): 033101.
[5] Inferring interactions of time-delayed dynamic networks by random state variable resetting
Changbao Deng(邓长宝), Weinuo Jiang(蒋未诺), and Shihong Wang(王世红). Chin. Phys. B, 2022, 31(3): 030502.
[6] Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation
Wenjie Yang(杨文杰). Chin. Phys. B, 2022, 31(2): 020201.
[7] Finite-time Mittag—Leffler synchronization of fractional-order complex-valued memristive neural networks with time delay
Guan Wang(王冠), Zhixia Ding(丁芝侠), Sai Li(李赛), Le Yang(杨乐), and Rui Jiao(焦睿). Chin. Phys. B, 2022, 31(10): 100201.
[8] Delayed excitatory self-feedback-induced negative responses of complex neuronal bursting patterns
Ben Cao(曹奔), Huaguang Gu(古华光), and Yuye Li(李玉叶). Chin. Phys. B, 2021, 30(5): 050502.
[9] Modeling and dynamics of double Hindmarsh-Rose neuron with memristor-based magnetic coupling and time delay
Guoyuan Qi(齐国元) and Zimou Wang(王子谋). Chin. Phys. B, 2021, 30(12): 120516.
[10] Stabilization strategy of a car-following model with multiple time delays of the drivers
Weilin Ren(任卫林), Rongjun Cheng(程荣军), and Hongxia Ge(葛红霞). Chin. Phys. B, 2021, 30(12): 120506.
[11] Transition to chaos in lid-driven square cavity flow
Tao Wang(王涛) and Tiegang Liu(刘铁钢). Chin. Phys. B, 2021, 30(12): 120508.
[12] The second Hopf bifurcation in lid-driven square cavity
Tao Wang(王涛), Tiegang Liu(刘铁钢), Zheng Wang(王正). Chin. Phys. B, 2020, 29(3): 030503.
[13] Multiple Lagrange stability and Lyapunov asymptotical stability of delayed fractional-order Cohen-Grossberg neural networks
Yu-Jiao Huang(黄玉娇), Xiao-Yan Yuan(袁孝焰), Xu-Hua Yang(杨旭华), Hai-Xia Long(龙海霞), Jie Xiao(肖杰). Chin. Phys. B, 2020, 29(2): 020703.
[14] Enhanced vibrational resonance in a single neuron with chemical autapse for signal detection
Zhiwei He(何志威), Chenggui Yao(姚成贵), Jianwei Shuai(帅建伟), and Tadashi Nakano. Chin. Phys. B, 2020, 29(12): 128702.
[15] Nonlinear dynamics in non-volatile locally-active memristor for periodic and chaotic oscillations
Wen-Yu Gu(谷文玉), Guang-Yi Wang(王光义), Yu-Jiao Dong(董玉姣), and Jia-Jie Ying(应佳捷). Chin. Phys. B, 2020, 29(11): 110503.
No Suggested Reading articles found!