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Article

Polynomial Approach and Non-linear Analysis for a Traffic Fundamental Diagram
Oscar A. Rosas-Jaimes, Luis Alberto Quezada Téllez, Guillermo Fernández Anaya
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.

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Published
30.08.2016
Copyright (c) 2023 Oscar A. Rosas-Jaimes, Luis Alberto Quezada Téllez, Guillermo Fernández Anaya

Published by
University of Zagreb, Faculty of Transport and Traffic Sciences
Online ISSN
1848-4069
Print ISSN
0353-5320
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