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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 |
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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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