Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (6): 940-946.

Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control

1. Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316004, China;
2. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China;
3. Zhejiang Ship Engineering Key Laboratory, Zhoushan 316000, China

Received:2009-10-09 Revised:2010-02-23 Online:2010-11-25 Published:2010-11-25

Abstract

Abstract: An improved time-delayed dual model for internet congestion control is investigated.Normal form theory,center manifold theorem and Hopf bifurcation theory are used for analysis.Bifurcation and stability analysis are mainly decided by communication time delay.As the delay passes through a critical value,Hopf bifurcation forms,which leads to a large oscillation of link price function.In addition,bifurcation direction and bifurcation periodic solution are derived,which provide model design with theoretical foundations.This work is summarized as two theorems verified by numerical simulations.

Key words: bifurcation, dynamics, congestion control, time-delayed dual

CLC Number:

TP393

LIU Yuliang, ZHANG Hua, ZHU Jie. Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(6): 940-946.

[1]	Dengliang YU, Guofang NAN, Shan JIANG, Chuanchong SONG. Coupling Fault Dynamics of Rotor System Supported by Rolling Bearing [J]. Chinese Journal of Computational Physics, 2022, 39(6): 733-743.
[2]	Liubin ZHANG, Yanguang SHAN, Zhicheng RONG. Single Bubble Dynamics in Pool Boiling Under Uniform Electric Field: LBM Simulation [J]. Chinese Journal of Computational Physics, 2022, 39(5): 537-548.
[3]	Xinyue XI, Xiaocheng GUO, Chi WANG. An HLLC Riemann Solver for MHD Tangential Discontinuities [J]. Chinese Journal of Computational Physics, 2022, 39(3): 286-296.
[4]	Yaling SHEN, Jianhu FENG, Supei ZHENG, Yarong LI. A High Resolution Entropy Consistent Scheme for Ideal Magnetohydrodynamics Equations with New Slope Limiter [J]. Chinese Journal of Computational Physics, 2022, 39(3): 297-308.
[5]	Zhaoyang HOU, Yuan NIU, Qixin XIAO, Zhen WANG, Qingtian DENG. Simulation of Mechanical Behavior and Deformation Mechanism of Al Nanowires Along Different Crystal Orientations [J]. Chinese Journal of Computational Physics, 2022, 39(3): 341-351.
[6]	Xiaohui WANG, Ping ZHANG. Structural Stability and Anharmonic Effect of Metallic Hydrogen FCC Phase Under High Pressures [J]. Chinese Journal of Computational Physics, 2022, 39(2): 159-164.
[7]	Qicheng XU, Changchun SUN. Dynamics Analysis and Circuit Simulation of A New Chaotic System with A Compound Power Function and Coexisting Attractors [J]. Chinese Journal of Computational Physics, 2021, 38(6): 742-748.
[8]	Hubao A, Zhibing YANG, Ran HU, Yifeng CHEN. Molecular Dynamics Simulations of Capillary Dynamics at the Nanoscale [J]. Chinese Journal of Computational Physics, 2021, 38(5): 603-611.
[9]	Yaoli FANG, Yi WANG. An IMEX Method for 2-D Radiation Hydrodynamics [J]. Chinese Journal of Computational Physics, 2021, 38(4): 401-417.
[10]	Qin LOU, Sheng TANG, Haoyuan WANG. Numerical Simulation of Bubble Dynamics in Porous Media with a Lattice Boltzmann Large Density Ratio Model [J]. Chinese Journal of Computational Physics, 2021, 38(3): 289-300.
[11]	Pengdi LI, Jun LIU, Qirong ZHENG, Chuanguo ZHANG, Yonggang LI, Yongsheng ZHANG, Gaofeng ZHAO, Zhi ZENG. Dynamics Modeling of Charged Defects in Si under B Ion Implantation [J]. Chinese Journal of Computational Physics, 2021, 38(3): 361-370.
[12]	LI Kang, LI Shouxian, LIU Na. High-precision Numerical Simulation of Strong Explosion Fireball with Adaptive Mesh [J]. Chinese Journal of Computational Physics, 2021, 38(2): 146-152.
[13]	WANG Guohua, CUI Yaru, YANG Ze, LI Xiaoming, TANG Hongliang, YANG Shufeng. Potential Function and Molecular Dynamics Simulation for Fe_xO-SiO₂-CaO-MgO-“NiO” Nickel Slag [J]. Chinese Journal of Computational Physics, 2021, 38(2): 215-223.
[14]	MA Jianjun, ZOU Yong. Effect of Vibrational Excitations of NO on Stereodynamics for Reaction C(³P)+NO(X²Π)→CO(X¹Σ⁺)+N(²D) [J]. Chinese Journal of Computational Physics, 2021, 38(2): 224-230.
[15]	CAO Qiwei, XIAO Delong, YANG Xianjun, WANG Jianguo. Numerical Simulation on Nonlinear Evolution of Magneto-Rayleigh-Taylor Instability [J]. Chinese Journal of Computational Physics, 2021, 38(1): 5-15.

Dynamical Character of an Improved Time-delayed Dual Model for Internet Congestion Control

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Authors

Reviewers

Journal Online

About Journal