Departamento de Ingeniería Industrial, Universidad de los Andes, 110321 Bogotá, Colombia.
Chaos. 2010 Mar;20(1):013109. doi: 10.1063/1.3308597.
We explore in detail the nontrivial and chaotic behavior of the traffic model proposed by Toledo et al. [Phys. Rev. E 70, 016107 (2004)] due to the richness of behavior present in the model, in spite of the fact that it is a minimalistic representation of basic city traffic dynamics. The chaotic behavior, previously shown for a given lower bound in acceleration/brake ratio, is examined more carefully and the region in parameter space for which we observe this nontrivial behavior is found. This parameter region may be related to the high sensitivity of traffic flow that eventually leads to traffic jams. Approximate scaling laws are proposed.
我们详细研究了 Toledo 等人提出的交通模型的非平凡和混沌行为[Phys. Rev. E 70, 016107 (2004)],因为尽管该模型是对基本城市交通动力学的简化表示,但它具有丰富的行为。我们更仔细地检查了先前在给定的加速度/制动力比下限下显示的混沌行为,并找到了观察到这种非平凡行为的参数空间区域。该参数区域可能与交通流量的高敏感性有关,最终导致交通拥堵。我们提出了近似的标度定律。