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双车跟驰模型稳定性及非线性分析 被引量:7

Stability and nonlinear analysis of two-car following model
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摘要 考虑双前车信息的影响,提出了交通流双车跟驰模型.通过线性稳定性分析,得到了改进模型的稳定性条件,改进模型通过调节次近邻前车信息,提高了交通流的稳定性.并对改进模型进行了非线性分析,获得了不稳定区域下的扭结一反扭结密度波.模拟结果与解析结果一致.数值模拟结果也表明,次近邻前车对交通流存在不可忽视的影响. With the consideration of the information's effect of the two leader cars to the following car, an improved two-car following model of traffic flow has been deduced. The linear stable judging condition is obtained to the improved model by its stable analyzing, which shows the stable range of the improved model is enlarged obviously by adjusting the information of the next-nearest-neighbor leader car. Nonlinear analysis is carried out and kink-antikink density wave is attained in unstable range for the model. Numerical simulation is accordance with the analytical result. And numerical simulation shows that there is unavoidable effect to traffic flow from the next-nearest-neighbor leader car' information.
作者 彭光含
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期1057-1064,共8页 Journal of Sichuan University(Natural Science Edition)
基金 湖南省自然科学基金(07JJ6106) 湖南省教育厅科学基金(06C606) 湖南省"十一五"重点建设学科资助的课题
关键词 交通流 双车跟驰模型 模拟 traffic flow,two cars following model, simulation
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