Bifurcations in a car-following model with delay

G Orosz, RE Wilson, B Krauskopf

Research output: Working paper

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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.
Original languageEnglish
Publication statusUnpublished - 2004

Bibliographical note

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


  • vehicle dynamics
  • bistability
  • nonlinear analysis


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