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.
|Translated title of the contribution||Global bifurcation investigation of an optimal velocity traffic model with driver reaction time|
|Article number||Article no. 026207|
|Pages (from-to)||1 - 10|
|Number of pages||10|
|Journal||Physical Review E: Statistical, Nonlinear, and Soft Matter Physics|
|Volume||70 (2, 026207)|
|Publication status||Published - Aug 2004|