Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows

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In 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.
revtex, 4 pages, 3 figures

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/83330

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/patt-sol/9908002
 http://arxiv.org/abs/patt-sol/9908002

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arXiv