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P. Berg, A. Mason and A. Woods, “Continuum Approach to Car-Following Models,” Physical Review E, Vol. 61, 2000, pp. 1056-1066. doi:10.1103/PhysRevE.64.035602
has been cited by the following article:
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TITLE:
Clusters in Macroscopic Traffic Flow Models
AUTHORS:
Rosa María Velasco, Patricia Saavedra
KEYWORDS:
Traffic Flow; Solitons
JOURNAL NAME:
World Journal of Mechanics,
Vol.2 No.1,
February
29,
2012
ABSTRACT: This paper concerns the traveling wave formation in macroscopic traffic flow models. The dynamics involved in this problem is described following a close analogy to compressible fluid dynamics. It is well known that vehicle clusters appear along a highway when the homogenous steady state taken as a reference is linearly unstable. The cluster properties are determined in an approximate way in terms of the parameters proper to each model and are compared between them.