Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows
patt-sol
2007-05-23 v1 Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.patt-sol/9908002,
title = {Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows},
author = {Yuji Igarashi and Katsumi Itoh and Ken Nakanishi and Kazuhiro Ogura and Ken Yokokawa},
journal= {arXiv preprint arXiv:patt-sol/9908002},
year = {2007}
}
Comments
revtex, 4 pages, 3 figures