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Synergetic theory for jamming transition in traffic flow

A. I. Olemskoi·A. V. Khomenko
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Abstract

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused by the acceleration/braking rate to be higher than the critical value. The stationary values of headway and velocity deviations, and time of acceleration/braking are derived as functions of control parameter (time needed for car to take the characteristic velocity).

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BibTeXRIS

A. I. Olemskoi, A. V. Khomenko. 2000-04-05. Synergetic theory for jamming transition in traffic flow. https://doi.org/10.1103/physreve.63.036116

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