dorsal/arxiv
View SchemaBifurcation Phenomena in Optimal Velocity Model for Traffic Flows
| Authors | Yuji Igarashi, Katsumi Itoh, Ken Nakanishi, Kazuhiro Ogura, Ken Yokokawa |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9908002 |
| URL | https://arxiv.org/abs/patt-sol/9908002 |
Abstract
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.
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"date_created": "2026-03-02T18:00:28.876000Z",
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"abstract": "In the optimal velocity model with a time lag, we show that there appear\nmultiple exact solutions in some ranges of car density, describing a uniform\nflow, a stable and an unstable congested flows. This establishes the presence\nof subcritical Hopf bifurcations. Our analytic results have far-reaching\nimplications for traffic flows such as hysteresis phenomena associated with\ndiscontinuous transitions between uniform and congested flows.",
"arxiv_id": "patt-sol/9908002",
"authors": [
"Yuji Igarashi",
"Katsumi Itoh",
"Ken Nakanishi",
"Kazuhiro Ogura",
"Ken Yokokawa"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"title": "Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows",
"url": "https://arxiv.org/abs/patt-sol/9908002"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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