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: Later published in the proceedings of the 5th IFAC Workshop on Time-Delay Systems
- vehicle dynamics, bistability, nonlinear analysis