Phase-plane analysis of conserved higher-order traffic flow model

被引：8
|
作者：
Wu, Chun-xiu [1 ,2 ]
Song, Tao [1 ,2 ]
Zhang, Peng [1 ,2 ]
Wong, S. C. [3 ]
机构：
[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[2] Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China
[3] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2012年 / 33卷 / 12期
基金：
中国国家自然科学基金;
关键词：
traffic flow; Lagrange coordinates; phase-plane analysis; traffic congestion pattern; WIDE CLUSTER; PARAMETERS; DIAGRAM; STATES; WAVES;
D O I：
10.1007/s10483-012-1640-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The phase-plane analysis is used to study the traveling wave solution of a recently proposed higher-order traffic flow model under the Lagrange coordinate system. The analysis identifies the types and stabilities of the equilibrium solutions, and the overall distribution structure of the nearby solutions is drawn in the phase plane for the further analysis and comparison. The analytical and numerical results are in agreement, and may help to explain the simulated phenomena, such as the stop-and-go wave and oscillation near a bottleneck. The findings demonstrate the model ability to describe the complexity of congested traffic.
引用
收藏
页码：1505 / 1512
页数：8
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