Polynomial Approach and Non-linear Analysis for a Traffic Fundamental Diagram

  • Oscar A. Rosas-Jaimes Benemérita Universidad Autónoma de Puebla
  • Luis Alberto Quezada Téllez Universidad Iberoamericana
  • Guillermo Fernández Anaya Universidad Iberoamericana
Keywords: traffic fundamental diagram, nonlinear behaviour, polynomial approximation,

Abstract

Vehicular traffic can be modelled as a dynamic discrete form. As in many dynamic systems, the parameters modelling traffic can produce a number of different trajectories or orbits, and it is possible to depict different flow situations, including chaotic ones. In this paper, an approach to the wellknown density-flow fundamental diagram is suggested, using an analytical polynomial technique, in which coefficients are taken from significant values acting as the parameters of the traffic model. Depending on the values of these parameters, it can be seen how the traffic flow changes from stable endpoints to chaotic trajectories, with proper analysis in their stability features.

Author Biographies

Oscar A. Rosas-Jaimes, Benemérita Universidad Autónoma de Puebla
Facultad de Ingeniería. Researcher.
Luis Alberto Quezada Téllez, Universidad Iberoamericana
Departamento de Física y Matemáticas
Guillermo Fernández Anaya, Universidad Iberoamericana
Departamento de Física y Matemáticas

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Published
2016-08-30
How to Cite
1.
Rosas-Jaimes OA, Téllez LAQ, Anaya GF. Polynomial Approach and Non-linear Analysis for a Traffic Fundamental Diagram. Promet - Traffic&Transportation. 2016;28(4):321-9. DOI: 10.7307/ptt.v28i4.1965
Section
Articles