半径
Korteweg–de Vries方程
非线性系统
机械
理论(学习稳定性)
数学
线性稳定性
流量(数学)
数学分析
物理
计算机科学
计算机安全
量子力学
机器学习
作者
Zhaoze Liu,Hongxia Ge,Rongjun Cheng
标识
DOI:10.1016/j.physa.2018.08.106
摘要
Considering the effect of friction and radius on a curved road, we propose an extended continuum model based on the full velocity difference model (FVDM, for short). Through the linear stability theory, the linear stability criterion of the continuum model is gained. By applying the nonlinear analysis, the KdV–Burgers equation is derived to describe the propagating behavior of traffic density wave near the neutral stability line. Numerical simulations show that traffic flow evolves into multiple local cluster, which corresponding to some particular traffic phenomenon with distinctive curved road factors. Numerical results indicate that the effect of friction and radius can suppress the traffic congestion and improve the stability of traffic flow efficiently.
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