Nonlinear Dynamics

, 58:141

A velocity matching car-following model on a closed ring in which overtaking is allowed

Original Paper

DOI: 10.1007/s11071-009-9467-2

Cite this article as:
Jamison, S. & McCartney, M. Nonlinear Dyn (2009) 58: 141. doi:10.1007/s11071-009-9467-2


Car-following models seek to describe the behaviour of a group of vehicles as they move along a stretch of road. In such models the behaviour of each vehicle is taken to be dependant on the motion of the vehicle in front and overtaking is not permitted. In this paper the effect of removing this ‘no-overtaking’ restriction is investigated. The resulting model is described in terms of a set of coupled time delay differential equations and these are solved numerically to analyse their post-transient behaviour under a periodic perturbation. For certain parameter choices this behaviour is found to be chaotic, and the degree of chaos is estimated using the Grassberger–Procaccia dimension.


Car-following Time delay differential equations Grassberger–Procaccia dimension 

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.School of Computing & MathematicsUniversity of UlsterNewtownabbeyNorthern Ireland

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