Bifurcations in a car-following model with delay

G Orosz; RE Wilson; B Krauskopf

Bifurcations in a car-following model with delay

G Orosz, RE Wilson, B Krauskopf

Department of Engineering Mathematics

Research output: Working paper

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Abstract

A simple car-following model that includes the reflex 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.

Original language	English
Publication status	Unpublished - 2004

Bibliographical note

Additional information: Later published in the proceedings of the 5th IFAC Workshop on Time-Delay Systems

Keywords

vehicle dynamics
bistability
nonlinear analysis

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2004r09Submitted manuscript, 234 KB

http://hdl.handle.net/1983/93

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1 Conference Contribution (Conference Proceeding)

Bifurcations in a car-following model with delay
Orosz, G., Wilson, R. & Krauskopf, B., 2004, Unknown.
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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title = "Bifurcations in a car-following model with delay",

abstract = "A simple car-following model that includes the reflex 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.",

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AB - A simple car-following model that includes the reflex 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.

KW - vehicle dynamics

KW - bistability

KW - nonlinear analysis

M3 - Working paper

BT - Bifurcations in a car-following model with delay

ER -

Bifurcations in a car-following model with delay

Abstract

Bibliographical note

Keywords

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Research output

Bifurcations in a car-following model with delay

Cite this