Bifurcation Analysis of Meta-Stability and Waves of the OV Model

P. Berg () and E. Wilson ()
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P. Berg: Simon Fraser University, Department of Mathematics
E. Wilson: University of Bristol, Department of Engineering Mathematics

A chapter in Traffic and Granular Flow ’03, 2005, pp 247-252 from Springer

Abstract: Summary This contribution re-visits the classical optimal-velocity model of Bando et al [1], describing vehicles on a loop, and explains the different wave types and meta-stable behaviour from the mathematical viewpoint of bifurcation theory. We apply the numerical continuation package AUTO for a rapid derivation of phase diagrams to investigate the relation between coexisting states, flow transitions and hysteresis in traffic flow. Some extensions which involve (i) multiple look-ahead effects and (ii) delay are also discussed.

Keywords: OV model; sub-critical; bifurcation; meta-stability; travelling wave; coexistence (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28091-0_24

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DOI: 10.1007/3-540-28091-X_24

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