Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

G Orosz; RE Wilson; B Krauskopf

doi:10.1103/PhysRevE.70.026207

Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

G Orosz, RE Wilson, B Krauskopf

Department of Engineering Mathematics

Research output: Working paper

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Abstract

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 connecting Hopf bifurcation points, which may be super- or subcritical, depending on parameters. This analysis reveals several regions of multistability.

Original language	English
DOIs	https://doi.org/10.1103/PhysRevE.70.026207
Publication status	Unpublished - 2004

Bibliographical note

Additional information: Later published by American Physical Society, (2004) Physical Review E, 70 (2) article no. 026207. ISSN 1063-651X

Terms of use: ©2004 The American Physical Society

Keywords

car-following model
delay

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abstract = "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 connecting Hopf bifurcation points, which may be super- or subcritical, depending on parameters. This analysis reveals several regions of multistability.",

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AB - 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 connecting Hopf bifurcation points, which may be super- or subcritical, depending on parameters. This analysis reveals several regions of multistability.

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KW - delay

U2 - 10.1103/PhysRevE.70.026207

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M3 - Working paper

BT - Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

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Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

Abstract

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Keywords

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