Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Global bifurcation investigation of an optimal velocity traffic model with driver reaction time Gbor Orosz,* R. Eddie Wilson,
 

Summary: Global bifurcation investigation of an optimal velocity traffic model with driver reaction time
Gábor Orosz,* R. Eddie Wilson,
and Bernd Krauskopf
Bristol Centre for Applied Nonlinear Mathematics, Department of Engineering Mathematics, University of Bristol, Queen's Building,
University Walk, Bristol BS8 1TR, United Kingdom
(Received 27 January 2004; published 16 August 2004)
We investigate an optimal velocity model which includes the reflex time of drivers. After an analytical study
of the stability and local bifurcations of the steady-state solution, we apply numerical continuation techniques
to investigate the global behavior of the system. Specifically, we find branches of oscillating solutions con-
necting Hopf bifurcation points, which may be super- or subcritical, depending on parameters. This analysis
reveals several regions of multistability.
DOI: 10.1103/PhysRevE.70.026207 PACS number(s): 05.45. a, 45.70.Vn, 47.54. r, 89.40.Bb
I. INTRODUCTION
The aim of this paper is to begin a systematic global in-
vestigation of the dynamics of car-following models of high-
way traffic, which include explicitly the reaction-time delay
of drivers; see Helbing [1] for a recent large-scale review of
the modeling of highway traffic.
Car-following models describe vehicles as discrete enti-
ties moving in continuous time and continuous one-

  

Source: Awtar, Shorya - Department of Mechanical Engineering, University of Michigan

 

Collections: Engineering