会议论文详细信息
International Conference on Recent Trends in Physics 2016 | |
Nonlinear dynamics of bimodality in vehicular traffic | |
Mullick, Arjun^1 ; Ray, Arnab K.^2 | |
Audible.com, 10 Exchange Pl, Jersey City | |
NJ | |
7302, United States^1 | |
Department of Physics, Jaypee University of Engineering and Technology, Raghogarh, Guna | |
Madhya Pradesh | |
473226, India^2 | |
关键词: Bimodal distribution; Bimodal functions; Bimodal peaks; Essential features; Fixed points; Global modeling; Phase portrait; Vehicular traffic flow; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/755/1/012009/pdf DOI : 10.1088/1742-6596/755/1/012009 |
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来源: IOP | |
【 摘 要 】
We provide a global model for the bimodal distribution of a one-dimensional vehicular traffic flow. Our model captures the essential features of bimodality, namely, asymptotically decaying tails, asymmetry of the bimodal peaks, and their oscillatory exhange in a twenty-four cyle of traffic flows. We analyse our model from the perspective of nonlinear dynamics, and show that in a phase portrait, bimodality is implied by fixed points, closed loops, local periodicity and homoclinic paths. We also find the conditions for the asymmetry in a bimodal function, and for a bimodal-to-unimodal transition.
【 预 览 】
Files | Size | Format | View |
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Nonlinear dynamics of bimodality in vehicular traffic | 790KB | download |