Nonlinear analysis of the car-following model considering headway changes with memory and backward looking effect

被引：34

作者：

Ma, Guangyi ^{[1
]}

Ma, Minghui ^{[1
]}

Liang, Shidong ^{[2
]}

Wang, Yansong ^{[1
]}

Guo, Hui ^{[1
]}

机构：

[1] Shanghai Univ Engn Sci, Sch Mech & Automot Engn, Shanghai 201620, Peoples R China

[2] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2021年 / 562卷

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

Traffic flow; Car-following model; Headway changes with memory; Backward looking effect; LATTICE HYDRODYNAMIC MODEL; DELAYED-FEEDBACK-CONTROL; CONTINUUM MODEL; CELLULAR-AUTOMATON; VELOCITY CHANGES; DRIVERS MEMORY; DYNAMICS; FLUX;

D O I：

10.1016/j.physa.2020.125303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In order to research the effects of headway changes with memory and backward looking effect on traffic flow, in the light of the full velocity difference model (FVDM), a novel car-following model that considers backward looking effect and headway changes with memory is proposed. The use of linear stability theory is to obtain the stability criterion that can judge traffic flow stability. In addition, on the basis of nonlinear theory, the time-dependent Ginzburg-Lan (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation near the critical stability point are inferred. The kink-antikink solutions of the above two equations can be used to describe the traffic jam. In the end, numerical simulation is carried out, and the results further demonstrate that the novel model can stabilize traffic flow and eliminate traffic jam better. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：12

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