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

G Orosz, RE Wilson, B Krauskopf

Research output: Working paperWorking paper and Preprints

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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 languageEnglish
DOIs
Publication statusUnpublished - 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

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