非线性系统
格子(音乐)
流量(计算机网络)
线性稳定性
Korteweg–de Vries方程
机械
计算机科学
数学
统计物理学
物理
声学
计算机安全
量子力学
作者
Ramanpreet Kaur,Sapna Sharma
标识
DOI:10.1016/j.physa.2016.11.116
摘要
The present paper investigates the effect of driver’s behavior on the curved road via lattice hydrodynamic approach. The basic model for straight road is extended for the curved road and the characteristics of driver’s behavior is incorporated in the lattice model. The extended model is investigated theoretically by the means of linear stability analysis and the effect of curved road and intensity of influence of driver’s behavior on the traffic flow stability is examined. Through nonlinear stability analysis, the modified Korteweg–de Vries (MKdV) equation near the critical point is derived to describe the evolution properties of traffic density waves by applying the reductive perturbation method. Furthermore, the numerical simulation is carried out to validate the theoretical results which indicates that the curved road has a negative influence on the stability of the traffic flow. It is also seen that the traffic jam on a curved road can be suppressed efficiently via taking into account aggressive drivers.
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