Distributional chaos for the Forward and Backward Control traffic model

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Barrachina, X. and Conejero, J. A. and Murillo Arcila, M. and Seoane-Sepúlveda, Juan B. (2015) Distributional chaos for the Forward and Backward Control traffic model. Linear Algebra and its Applications, 479 . pp. 202-215. ISSN 0024-3795

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Official URL: http://dx.doi.org/10.1016/j.laa.2015.04.010



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–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 C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions.


Item Type:Article
Uncontrolled Keywords:Distributional chaos; C0-semigroup; Devaney-chaos; Birth-and-death models; Car-following models
Subjects:Sciences > Mathematics > Algebra
ID Code:32513
Deposited On:23 Jul 2015 11:42
Last Modified:25 Nov 2016 12:33

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