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Bifurcations in a car-following model with delay

Research output: Working paperWorking paper and Preprints

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


A simple car-following model that includes the reflex time of drivers is analyzed by numerical continuation techniques for the case of five cars on a ring. A two-dimensional bifurcation diagram is computed that summarizes the dynamics of steady states, oscillating solutions, collisions, and stopping as a function of model parameters. Further, a mechanism is proposed by which different spatial patterns may appear.

Additional information

Additional information: Later published in the proceedings of the 5th IFAC Workshop on Time-Delay Systems

Research areas

  • vehicle dynamics, bistability, nonlinear analysis

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  • 2004r09

    Submitted manuscript, 234 KB, PDF-document


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