A velocity matching car-following model on a closed ring in which overtaking is allowed

被引：10

作者：

Jamison, S. ^{[1
]}

McCartney, M. ^{[1
]}

机构：

[1] Univ Ulster, Sch Comp & Math, Newtownabbey BT37 0QB, North Ireland

来源：

NONLINEAR DYNAMICS | 2009年 / 58卷 / 1-2期

关键词：

Car-following; Time delay differential equations; Grassberger-Procaccia dimension; TRAFFIC DYNAMICS;

D O I：

10.1007/s11071-009-9467-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Car-following models seek to describe the behaviour of a group of vehicles as they move along a stretch of road. In such models the behaviour of each vehicle is taken to be dependant on the motion of the vehicle in front and overtaking is not permitted. In this paper the effect of removing this 'no-overtaking' restriction is investigated. The resulting model is described in terms of a set of coupled time delay differential equations and these are solved numerically to analyse their post-transient behaviour under a periodic perturbation. For certain parameter choices this behaviour is found to be chaotic, and the degree of chaos is estimated using the Grassberger-Procaccia dimension.

引用

页码：141 / 151

页数：11

共 24 条

[11] CHARACTERIZATION OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349

[12]

Hilborn R.C., 2000, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers

[13]

Jarrett D., 1993, Applications of Fractals and Chaos: The Shape of Things

[14] General lane-changing model MOBIL for car-following models [J].

Kesting, Arne ;

Treiber, Martin ;

Helbing, Dirk .

TRANSPORTATION RESEARCH RECORD, 2007, (1999) :86-94

[15]

Lan L. W., 2005, J E ASIA SOC TRANSPO, V6, P1518

[16] Lane-changing in traffic streams [J].

Laval, JA ;

Daganzo, CF .

TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 2006, 40 (03) :251-264

[17] A nonlinear temporal headway model of traffic dynamics [J].

Low, DJ ;

Addison, PS .

NONLINEAR DYNAMICS, 1998, 16 (02) :127-151

[18]

MCCARTNEY M, 2007, TRANSP RES B UNPUB

[19] 90.83 Differential equations, traffic dynamics and the N roots of unity [J].

McCartney, Mark ;

Gibson, Sharon .

MATHEMATICAL GAZETTE, 2006, 90 (519) :502-505

[20] The routes of unity [J].

McCartney, Mark ;

Gibson, Sharon .

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2006, 37 (08) :992-998

← 1 2 3 →