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Distributional chaos for the Forward and Backward Control traffic model
dc.contributor.author | Barrachina, Xavier | |
dc.contributor.author | Conejero, J. Alberto | |
dc.contributor.author | murillo arcila, marina | |
dc.contributor.author | Seoane Sepúlveda, Juan | |
dc.date.accessioned | 2017-01-10T10:24:23Z | |
dc.date.available | 2017-01-10T10:24:23Z | |
dc.date.issued | 2015-05-02 | |
dc.identifier.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. 202-215 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/165278 | |
dc.description.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 C0C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Linear algebra and its applications (2015), v. 479 | ca_CA |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Distributional chaos | ca_CA |
dc.subject | C0C0-semigroup | ca_CA |
dc.subject | Devaney-chaos | ca_CA |
dc.subject | Birth-and-death models | ca_CA |
dc.subject | Car-following models | ca_CA |
dc.title | Distributional chaos for the Forward and Backward Control traffic model | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.laa.2015.04.010 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0024379515002372 | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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