Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 381, Issue -, Pages 411-419Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2007.03.052
Keywords
vehicular dynamics; crossroads; traffic jams; chaos
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A simplified traffic model is studied, consisting of two vehicles traveling through a sequence of crossroads regulated by yield signs. A car approaching a yield sign stops if, in the other street, there is a car closer than a certain distance x,., from the intersection. It is shown that the function which maps the state of the vehicles displays a period doubling transition to chaos. An interesting feature of the dynamics is that for extremely cautious drivers (x(tol) too large), the map turns chaotic, thus becoming a potential source of emergent jams. Complex behavior such as the one observed in this simple system seems to be an essential ingredient in traffic patterns, and could be of relevance in studying actual crossroads situations. (c) 2007 Elsevier B.V. All rights reserved.
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