Article citationsMore>>
Z. Z. Liu, X. J. Zhou, X. M. Liu and J. Luo, “Density Waves in Traffic Flow of Two Kinds of Vehicles,” Phy- sical Review E, Vol. 67, No. 1, 2003, pp. 017601-017604. doi:10.1103/PhysRevE.67.017601
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.