曲率
半径
流量(计算机网络)
Korteweg–de Vries方程
机械
流量(数学)
曲率半径
非线性系统
理论(学习稳定性)
点粒子
摩擦系数
物理
数学
数学分析
经典力学
控制理论(社会学)
几何学
流量平均曲率
计算机科学
材料科学
控制(管理)
平均曲率
量子力学
机器学习
复合材料
人工智能
计算机安全
作者
Zihao Wang,Lidong Zhang
标识
DOI:10.1016/j.physa.2012.05.032
摘要
We investigate the friction coefficient and radius of curvature effects upon traffic flow analytically and numerically. A new model is proposed to describe the motion of vehicles running on a curved road. The stability condition is obtained by the use of control theories. The nonlinear analysis method is taken to derive the modified KdV (Korteweg–de Vries) equation and the kink–antikink solution is obtained near the critical point. Simulations are carried out to verify the double effects upon traffic flow. The flux increases but the stability decreases with an increase of the two parameters. Numerical results are in good agreement with the analytical results.
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