Nonlinear dynamics of bimodality in vehicular traffic

International Conference on Recent Trends in Physics 2016

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

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.