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

Research output: Working paper

287 Downloads (Pure)

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Publication status	Unpublished - 2004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

Access to Document

10.1103/PhysRevE.70.026207

CarnumericalSubmitted manuscript, 390 KB

http://hdl.handle.net/1983/31

Handle.net

Persistent link

Cite this

@techreport{1e6a3965301045c689cb3b99d3861355,

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.",

keywords = "car-following model, delay",

author = "G Orosz and RE Wilson and B Krauskopf",

note = "Additional information: Later published by American Physical Society, (2004) Physical Review E, 70 (2) article no. 026207. ISSN 1063-651X Terms of use: {\textcopyright}2004 The American Physical Society ",

year = "2004",

doi = "10.1103/PhysRevE.70.026207",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Global bifurcation investigation of an optimal velocity traffic model with driver reaction time

AU - Orosz, G

AU - Wilson, RE

AU - Krauskopf, B

PY - 2004

Y1 - 2004

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.

KW - car-following model

KW - delay

U2 - 10.1103/PhysRevE.70.026207

DO - 10.1103/PhysRevE.70.026207

M3 - Working paper

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

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

Fingerprint

Cite this