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

Global bifurcation investigation of an optimal velocity traffic model with driver reaction time
Global bifurcation investigation of an optimal velocity traffic model with driver reaction time
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
1539-3755
026207-[10pp]
Orosz, Gabor
90be8fcf-d472-44d1-93c6-24909988e938
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Krauskopf, Bernd
a4fa8a40-8801-45d6-bb33-97f25ee166f1
Orosz, Gabor
90be8fcf-d472-44d1-93c6-24909988e938
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Krauskopf, Bernd
a4fa8a40-8801-45d6-bb33-97f25ee166f1

Orosz, Gabor, Wilson, R. Eddie and Krauskopf, Bernd (2004) Global bifurcation investigation of an optimal velocity traffic model with driver reaction time. Physical Review E, 70 (2), 026207-[10pp]. (doi:10.1103/PhysRevE.70.026207). (PMID:15447565)

Record type: Article

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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Published date: August 2004

Identifiers

Local EPrints ID: 184267
URI: http://eprints.soton.ac.uk/id/eprint/184267
DOI: doi:10.1103/PhysRevE.70.026207
ISSN: 1539-3755
PURE UUID: 85f549a5-e176-4ed8-926a-222a8e9c3888

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Date deposited: 06 Jun 2011 10:08
Last modified: 14 Mar 2024 03:07

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Author: Gabor Orosz
Author: R. Eddie Wilson
Author: Bernd Krauskopf

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