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: Later published by American Physical Society, (2004) Physical Review E, 70 (2) article no. 026207. ISSN 1063-651X
- car-following model, delay