Phys. Rev. E 70, 026207 (2004) [10 pages]Global bifurcation investigation of an optimal velocity traffic model with driver reaction timeReceived 27 January 2004; published 16 August 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.026207
DOI:
10.1103/PhysRevE.70.026207
PACS:
05.45.−a, 45.70.Vn, 47.54.+r, 89.40.Bb
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