期刊
NONLINEAR DYNAMICS
卷 77, 期 4, 页码 1245-1250出版社
SPRINGER
DOI: 10.1007/s11071-014-1374-5
关键词
Traffic flow; Phase transition; TDGL equation; mKdV equation
资金
- National Natural Science Foundation of China [11372166, 11372147, 61074142]
- Natural Science Foundation of ZheJiang Province [Y13A010029]
- K.C. Wong Magna Fund in Ningbo University
Car-following models are proposed to describe the jamming transition in traffic flow on a highway. In this paper, a new car-following model considering the driver's forecast effect is investigated to describe the traffic jam. The nature of the model is studied using linear and nonlinear analysis method. A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow and the time-dependent Ginzburg-Landau (TDGL) equation is derived to describe the traffic flow near the critical point. It is also shown that the modified Korteweg-de Veris (mKdV) equation is derived to describe the traffic jam. The connection between the TDGL and the mKdV equations is given.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据