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| Research on Bifurcation and Nonlinear Stability of an Improved TimeDelayed Dual Model in Internet Congestion Control |
| LIU Yuliang1,2，ZHU Jie2 |
| (1. School of Electromechanical Engineering, Zhejiang Ocean University, Zhoushan 316004, China；2. School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, China) |
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Abstract Based on Hopf bifurcation theory, an improved timedelayed dual model was proposed in Internet congestion control in order to make the stable domain enlarged. The modified model’s dynamic characteristics such as bifurcation condition, bifurcation direction and bifurcation periodic solution are all derived as the communication delay changes. The study shows that the novel model’s nonlinear stability can be described mathematically by three expressions. This paper’s creativity lies in the model’s improvement and its stability’s quantitative description, and it gives the necessary theoretical foundation on designing effective Internet congestion control protocols or algorithms.
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Received: 17 August 2009
Published: 28 July 2010
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