时滞车辆跟驰模型及其分岔现象

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doi:10.6052/1000-0992-12-012

徐鉴,
徐荣改

同济大学航空航天与力学学院, 上海200092

基金项目:国家自然科学基金重点(11032009),中央高校基本科研业务费专项基金和上海市重点学科(B302)资助项目

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作者简介:
徐鉴, 男, 1961年12月生. 同济大学教授, 博士生导师, 同济大学航空航天与力学学院副院长, 同济大学航空航天与力学学院力学专业委员会主任, 1994年毕业于天津大学一般力学专业, 获工学博士学位.1996年在北京航空航天大学力学博士后流动站完成第一站博士后研究工作, 1998年在华中理工大学力学博士后流动站完成第二站博士后研究工作. 国家杰出青年基金获得者、上海市领军人才和上海市优秀学科带头人, 兼任开云棋牌官方动力学与控制专业委员会主任, 上海力学学会秘书长、Theoreticaland Applied Mechanics Letters、《力学季刊》和《动力学与控制学报》副主编.主要研究方向: 非线性动力学, 振动抑制和利用, 神经及其网络动力学

通讯作者:
徐鉴

中图分类号:O322,U491
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出版历程
- 收稿日期:2012-02-19
- 修回日期:2012-11-19
- 刊出日期:2013-01-24

REVIEW OF TIME-DELAYED CAR FOLLOWING MODELS AND BIFURCATION PHENOMENA

XU Jian,
XU Ronggai

School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China

Funds:The project was supported by the State Key Program of National Natural Science Foundation of China(11032009),and the Fundamental Research Funds for the Central Universities and Shanghai Leading Academic Discipline Project(B302).

More Information

Corresponding author:XU Jian

摘要

摘要:交通流车辆跟驰理论中, 由于生理因素, 造成司机在处理前方车辆变化信息和采取应对措施之间存在时间滞后. 即使是在自动巡航控制系统中, 设备在感知信息、计算所需操作并最终作动车辆这一过程中时滞也不可避免. 因此交通流跟驰理论的数学模型本质上应包含时滞. 时滞的存在对各种交通模式的出现及其相互演化产生怎样的影响? 这是值得我们关注的问题. 本文首先综述了各类时间和空间连续的时滞车辆跟驰模型.其次探究这类模型中存在的分岔现象的研究进展, 并指出目前研究中存在的不足. 最后提出作者的一些看法,运用时滞动力系统理论来深入挖掘富含参数的交通流时滞跟驰模型中隐藏的各种的非线性动力学现象, 这样既可以更好解释真实交通中的各种堵塞模式的形成及其演化机制, 又可以结合交通流参数平面内动力学行为从同步观点给出交通堵塞一种分类. 为交通管理部门的交通控制策略制定提供一定的参考依据, 减缓由于司机反应时滞等因素造成的交通堵塞的发生.
- 交通流/
- 车辆跟驰模型/
- 时滞/
- 交通堵塞/
- 分岔
Abstract:In car following theory of traffic dynamics, human drivers need a finite period of time to process stimuli of preceding vehicles and make a decision, which is attributed to human physiological factors. Since mechanical devices also need time for sensing, computing and actuating, time delay seems unavoidable even in autonomous cruise control systems. As a result time delays should be considered as an inherent factor in car following theories of traffic dynamics. One of the key problems in need of study is how time delays affect the traffic flow patterns and their evolutions. In this paper, time-delayed car following models which are continuous in both time and space are firstly surveyed. Then the progress in the dynamic behaviors based on bifurcation theory is reviewed. Defects of these models and the corresponding bifurcation research are pointed out in this summary. Finally we conclude that research on dynamic behaviors of time-delayed car following models with traffic flow parameters based on bifurcation theory are of great significance and necessity. By means of such research, the underlying mechanisms of traffic jam formation and evolution can be better understood. Traffic jam patterns can be categorized from a synchronization perspective through classifying dynamic behaviors in parameter plane, and hence, different traffic control strategies can be put forward by traffic management department based on the above jam patterns.
- traffic flow/
- car following models/
- time delay/
- traffic jams/
- bifurcation

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