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

作　　者：吴春秀 宋涛 张鹏 S.C.WONG 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University [2]Shanghai Key Laboratory of Mechanics in Energy Engineering [3]Department of Civil Engineering,The University of Hong Kong

出　　处：《Applied Mathematics and Mechanics(English Edition)》2012年第12期1505-1512,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11072141);the Shanghai Program for Innovative Research Team in Universities,the Graduate Innovation Foundation of Shanghai University(No.SHUCX101078);and the University Research Committee,HKU SPACE Research Fund and Faculty of Engineering Top-up Grant of the University of Hong Kong(No.201007176059)

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.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.

关 键 词：traffic flow Lagrange coordinates phase-plane analysis traffic congestionpattern 

分 类 号：U491.112[交通运输工程—交通运输规划与管理]