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

G. Orosz; R.E. Wilson; B. Krauskopf

doi:10.1103/PhysRevE.70.026207

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

G. Orosz, R.E. Wilson, B. Krauskopf

Atoms, Molecules, Lasers

Research output: Contribution to Journal › Article › Academic › peer-review

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
Journal	Physical Review E
Volume	70
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.70.026207
Publication status	Published - 2004

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title = "Global bifurcation investigation of an optimal velocity traffic model with driver reaction time",

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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N2 - 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.

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.

U2 - 10.1103/PhysRevE.70.026207

DO - 10.1103/PhysRevE.70.026207

M3 - Article

SN - 1539-3755

VL - 70

JO - Physical Review E

JF - Physical Review E

IS - 2

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

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