2024-03-29T07:28:27Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1652782022-02-03T10:13:02Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Barrachina, Xavier
author
Conejero, J. Alberto
author
murillo arcila, marina
author
Seoane Sepúlveda, Juan
2017-01-10T10:24:23Z
2017-01-10T10:24:23Z
2015-05-02
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. 202-215
http://hdl.handle.net/10234/165278
http://dx.doi.org/10.1016/j.laa.2015.04.010
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.
eng
Atribución-NoComercial-SinDerivadas 4.0 España
Distributional chaos
C0C0-semigroup
Devaney-chaos
Birth-and-death models
Car-following models
Distributional chaos for the Forward and Backward Control traffic model
info:eu-repo/semantics/article
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URL
https://repositori.uji.es/xmlui/bitstream/10234/165278/1/Murillo_2015_Distributional.pdf
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URL
https://repositori.uji.es/xmlui/bitstream/10234/165278/3/Murillo_2015_Distributional.pdf.txt
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Murillo_2015_Distributional.pdf.txt