Summary: BIFURCATIONS IN A CAR-FOLLOWING
MODEL WITH DELAY
G´abor Orosz
, R. Eddie Wilson
,
Bernd Krauskopf

Bristol Centre for Applied Nonlinear Mathematics,
Department of Engineering Mathematics,
University of Bristol, Bristol BS8 1TR, United Kingdom
Abstract: A simple car-following model that includes the reaction time of drivers is
analyzed by numerical continuation techniques for the case of five cars on a ring. A
two-dimensional bifurcation diagram is computed that summarizes the dynamics
of steady states, oscillating solutions, collisions, and stopping as a function of
model parameters. Further, a mechanism is proposed by which different spatial
patterns may appear. Copyright c 2004 IFAC
Keywords: vehicle dynamics, nonlinear analysis, bistability
1. INTRODUCTION
In this paper a car-following model of highway
traffic is studied which regards vehicles as dis-

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

Collections: Engineering