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Chaotic finite difference operators

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Chaotic finite difference operators

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dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.contributor.author Vargas-Moreno, Álvaro es_ES
dc.date.accessioned 2024-10-08T18:09:32Z
dc.date.available 2024-10-08T18:09:32Z
dc.date.issued 2023-09-11 es_ES
dc.identifier.issn 1054-1500 es_ES
dc.identifier.uri http://hdl.handle.net/10251/209516
dc.description.abstract [EN] In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation, and the wave equation. We provide sufficient conditions on the spatial and time steps of the scheme that guarantee chaos for the corresponding operators, and we compare them with the conditions needed to ensure chaotic analytical solutions. es_ES
dc.description.sponsorship The first author was partially supported by the grant Operator Theory: an interdisciplinary approach, reference ProyExcel_00780, a project financed in the 2021 call for Grants for Excellence Projects, under a competitive bidding regime, aimed at entities qualified as Agents of the Andalusian Knowledge System, in the scope of the Andalusian Research, Development and Innovation Plan (PAIDI 2020). Counseling of University, Research and Innovation of the Junta de Andalucía. The first and second authors were supported by MCIN/AEI/10.13039/501100011033, Projects PID2019-105011GBI00 and PID2022-139449NB-I00. All the authors are supported by Generalitat Valenciana, Project PROMETEU/2021/070 es_ES
dc.language Inglés es_ES
dc.publisher American Institute of Physics es_ES
dc.relation.ispartof Chaos An Interdisciplinary Journal of Nonlinear Science es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Dynamical systems es_ES
dc.subject Chaotic dynamics es_ES
dc.subject Heat transfer es_ES
dc.subject Functional analysis es_ES
dc.subject Finite difference methods es_ES
dc.subject Operator theory es_ES
dc.subject Partial differential equations es_ES
dc.subject Complex functions es_ES
dc.subject Cell growth es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Chaotic finite difference operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1063/5.0158038 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-139449NB-I00/ES/DINAMICA DE OPERADORES Y ECUACIONES DE EVOLUCION/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//ProyExcel_00780/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Murillo Arcila, M.; Peris Manguillot, A.; Vargas-Moreno, Á. (2023). Chaotic finite difference operators. Chaos An Interdisciplinary Journal of Nonlinear Science. 33(9). https://doi.org/10.1063/5.0158038 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1063/5.0158038 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 33 es_ES
dc.description.issue 9 es_ES
dc.relation.pasarela S\501037 es_ES
dc.contributor.funder Junta de Andalucía es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES


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