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

G Orosz, RE Wilson, B Krauskopf

Research output: Contribution to journalArticle (Academic Journal)peer-review

96 Citations (Scopus)

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.
Translated title of the contributionGlobal bifurcation investigation of an optimal velocity traffic model with driver reaction time
Original languageEnglish
Article numberArticle no. 026207
Pages (from-to)1 - 10
Number of pages10
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume70 (2, 026207)
DOIs
Publication statusPublished - Aug 2004

Bibliographical note

Publisher: The American Physical Society

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