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Chaotic asymptotic behaviour of the solutions of the Lighthill Whitham Richards equation

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Chaotic asymptotic behaviour of the solutions of the Lighthill Whitham Richards equation

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dc.contributor.author Conejero, J. Alberto es_ES
dc.contributor.author Martínez Jiménez, Félix es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.contributor.author Ródenas Escribá, Francisco de Asís es_ES
dc.date.accessioned 2018-03-26T06:57:48Z
dc.date.available 2018-03-26T06:57:48Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0924-090X es_ES
dc.identifier.uri http://hdl.handle.net/10251/99754
dc.description.abstract [EN] The phenomenon of chaos has been exhibited in mathematical nonlinear models that describe traffic flows, see, for instance (Li and Gao in Modern Phys Lett B 18(26-27):1395-1402, 2004; Li in Phys. D Nonlinear Phenom 207(1-2):41-51, 2005). At microscopic level, Devaney chaos and distributional chaos have been exhibited for some car-following models, such as the quick-thinking-driver model and the forward and backward control model (Barrachina et al. in 2015; Conejero et al. in Semigroup Forum, 2015). We present here the existence of chaos for the macroscopic model given by the Lighthill Whitham Richards equation. es_ES
dc.description.sponsorship The authors are supported by MEC Project MTM2013-47093-P. The second and third authors are supported by GVA, Project PROMETEOII/2013/013
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Nonlinear Dynamics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Devaney chaos es_ES
dc.subject Mixing measures es_ES
dc.subject Traffic es_ES
dc.subject Lighthill Whitman Richards equation es_ES
dc.subject C_0 -semigroup es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaotic asymptotic behaviour of the solutions of the Lighthill Whitham Richards equation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11071-015-2245-4 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ 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 Conejero, JA.; Martínez Jiménez, F.; Peris Manguillot, A.; Ródenas Escribá, FDA. (2016). Chaotic asymptotic behaviour of the solutions of the Lighthill Whitham Richards equation. Nonlinear Dynamics. 84(1):127-133. https://doi.org/10.1007/s11071-015-2245-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s11071-015-2245-4 es_ES
dc.description.upvformatpinicio 127 es_ES
dc.description.upvformatpfin 133 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 84 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\299552 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
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