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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
Publication date2004


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



  • Carnumerical

    Preprint (usually an early version) , 389 KB, PDF-document


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