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

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
ISSN: 1539-3755
PURE UUID: 85f549a5-e176-4ed8-926a-222a8e9c3888

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Date deposited: 06 Jun 2011 10:08
Last modified: 18 Jul 2017 11:51

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Contributors

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

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