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

Research output: Working paperWorking paper and Preprints

  • G Orosz
  • RE Wilson
  • B Krauskopf
Original languageEnglish
DOIs
StateUnpublished - 2004

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.

Additional information

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

Research areas

  • car-following model, delay

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