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Distributional chaos for the Forward and Backward Control traffic model

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Distributional chaos for the Forward and Backward Control traffic model

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dc.contributor.author Barrachina Civera, Xavier es_ES
dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Seoane-Sepulveda, Juan B. es_ES
dc.date.accessioned 2016-06-03T11:21:15Z
dc.date.available 2016-06-03T11:21:15Z
dc.date.issued 2015-08-15
dc.identifier.issn 0024-3795
dc.identifier.uri http://hdl.handle.net/10251/65203
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 C0-semigroups. In contrast, we also analyse which initial configurations lead to stable solutions. © 2015 Elsevier Inc. All rights reserved. es_ES
dc.description.sponsorship The first three authors were supported by MTM2013-47093-P. The first author was supported by the ERC grant HEVO no. 2177691. The third author was also supported by MTM2013-47093-P and by a grant from the FPU program of MEC (AP 2010-4361). en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Distributional chaos es_ES
dc.subject $C_0$-semigroup es_ES
dc.subject Devaney chaos es_ES
dc.subject.classification DIDACTICA DE LA MATEMATICA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Distributional chaos for the Forward and Backward Control traffic model es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.laa.2015.04.010
dc.relation.projectID info:eu-repo/grantAgreement/ERC//2177691/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MECD//AP2010-4361/ES/AP2010-4361/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Barrachina Civera, X.; Conejero, JA.; Murillo Arcila, M.; Seoane-Sepulveda, JB. (2015). Distributional chaos for the Forward and Backward Control traffic model. Linear Algebra and its Applications. 479:202-215. https://doi.org/10.1016/j.laa.2015.04.010 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.laa.2015.04.010 es_ES
dc.description.upvformatpinicio 202 es_ES
dc.description.upvformatpfin 215 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 479 es_ES
dc.relation.senia 298745 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder European Research Council es_ES
dc.contributor.funder Ministerio de Educación, Cultura y Deporte es_ES


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