4.7 Article

Hyperbolicity analysis of a class of dynamical systems modelling traffic flow

Journal

APPLIED MATHEMATICS LETTERS
Volume 20, Issue 8, Pages 933-937

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2006.06.022

Keywords

traffic flow; conservation equations; hyperbolicity

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This work deals with modelling and qualitative analysis of a class of deterministic dynamical systems in traffic flow consisting in the mass conservation equation closed by a phenomenological model describing the trend of drivers to equilibrium. The analysis is developed with the aim of analyzing their hyperbolic structure. (c) 2007 Elsevier Ltd. All rights reserved.

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