Distributional chaos for the Forward and Backward Control traffic model
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Other documents of the author: Barrachina, Xavier; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Distributional chaos for the Forward and Backward Control traffic modelDate
2015-05-02Publisher
ElsevierBibliographic citation
BARRACHINA, Xavier; CONJERO, José Alberto; MURILLO-ARCILA, Marina; SEOANE-SEPÚLVEDA, J. B. Distributional chaos for the Forward and Backward Control traffic model. Linear algebra and its applications (2015), v. 479, pp. 202-215Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0024379515002372Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herm ... [+]
The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery model were already known to be chaotic. We consider the linear Forward and Backward Control traffic model for an infinite number of cars on a track. We show the existence of solutions with a chaotic behaviour by using some results of linear dynamics of C0C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions. [-]
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Linear algebra and its applications (2015), v. 479Rights
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