Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows

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dc.creatorIgarashi, Yuji
dc.creatorItoh, Katsumi
dc.creatorNakanishi, Ken
dc.creatorOgura, Kazuhiro
dc.creatorYokokawa, Ken
dc.date1999-08-05
dc.date.accessioned2026-07-07T05:43:30Z
dc.date.available2026-07-07T05:43:30Z
dc.descriptionIn the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable congested flows. This establishes the presence of subcritical Hopf bifurcations. Our analytic results have far-reaching implications for traffic flows such as hysteresis phenomena associated with discontinuous transitions between uniform and congested flows.
dc.descriptionrevtex, 4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/patt-sol/9908002
dc.identifierhttp://arxiv.org/abs/patt-sol/9908002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83330
dc.subjectPattern Formation and Solitons
dc.titleBifurcation Phenomena in Optimal Velocity Model for Traffic Flows
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