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令人兴奋的交通拥堵:高速公路上交通拥堵形成背后的非线性现象。

Exciting traffic jams: nonlinear phenomena behind traffic jam formation on highways.

作者信息

Orosz Gábor, Wilson R Eddie, Szalai Róbert, Stépán Gábor

机构信息

Department of Mechanical Engineering, University of California, Santa Barbara, California 93106, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046205. doi: 10.1103/PhysRevE.80.046205. Epub 2009 Oct 6.

DOI:10.1103/PhysRevE.80.046205
PMID:19905413
Abstract

A nonlinear car-following model is studied with driver reaction time delay by using state-of-the-art numerical continuations techniques. These allow us to unveil the detailed microscopic dynamics as well as to extract macroscopic properties of traffic flow. Parameter domains are determined where the uniform flow equilibrium is stable but sufficiently large excitations may trigger traffic jams. This behavior becomes more robust as the reaction time delay is increased.

摘要

利用最先进的数值延拓技术研究了具有驾驶员反应时间延迟的非线性跟驰模型。这些技术使我们能够揭示详细的微观动力学,并提取交通流的宏观特性。确定了参数域,其中均匀流平衡是稳定的,但足够大的激励可能引发交通拥堵。随着反应时间延迟的增加,这种行为变得更加稳健。

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