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基于一维元胞自动机模型的交通流混沌研究 被引量:7

Study on Chaos in Traffic Flow Based on the One-dimensional Cellular Automation Model
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摘要 应用交通流一维元胞自动机模型进行仿真试验,研究理论交通流的混沌现象.仿真中选取某一观测点记录车辆到达该点的车头时距,应用非线性分析软件TISEAN计算该车头时距序列的Lyapunov指数谱和Kolmogorov熵.试验结果证明交通流中存在混沌现象.从试验结果分析找出了产生交通流混沌现象的2个因素:车辆密度和车辆减速概率.当车流密度超过某一值时仿真出的交通流会产生混沌现象,而出现混沌的根本原因在于交通流的内在随机性,其中车辆不规则的加速、减速是这种内在随机性的主要因素. Traffic flow is simulated based on the one-dimensional cellular automation model (Nagel-Schreckenberg Model) to study the chaos phenomenon in theoretical traffic flow. The time serials are generated by recording the time headway between the front vehicle and the following vehicle. The Lyapunov spectrum and the Kolmogorov entropy of the time serials are computed by the software package TISEAN. The simulation results prove that chaos in traffic flow exists indeed. Two factors which can induce chaos in traffic flow have been found from the analysis of the simulation results: the density and brake probability of vehicles. When the density of vehicles is bigger than a critical value,chaos in the traffic flow will appear. Moreover, the basic reason of chaos phenomenon is the intrinsic randomness of the traffic flow, among which the brake probability of the vehicles is the main factor.
作者 张杰 贺国光
出处 《武汉理工大学学报(交通科学与工程版)》 2009年第1期33-36,共4页 Journal of Wuhan University of Technology(Transportation Science & Engineering)
基金 国家自然科学基金项目资助(批准号:50478088)
关键词 交通流 元胞自动机 混沌 LYAPUNOV指数谱 traffic flow cellular automation chaos Lyapunov spectrum
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