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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/209516
Título:
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Chaotic finite difference operators
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Autor:
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Murillo Arcila, Marina
Peris Manguillot, Alfredo
Vargas-Moreno, Álvaro
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Entidad UPV:
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Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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Fecha difusión:
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Resumen:
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[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 ...[+]
[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.
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Palabras clave:
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Dynamical systems
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Chaotic dynamics
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Heat transfer
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Functional analysis
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Finite difference methods
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Operator theory
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Partial differential equations
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Complex functions
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Cell growth
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Chaos An Interdisciplinary Journal of Nonlinear Science. (issn:
1054-1500
)
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DOI:
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10.1063/5.0158038
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Editorial:
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American Institute of Physics
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Versión del editor:
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https://doi.org/10.1063/5.0158038
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Código del Proyecto:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/
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/
info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/
info:eu-repo/grantAgreement/Junta de Andalucía//ProyExcel_00780/
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Agradecimientos:
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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 ...[+]
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
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Tipo:
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Artículo
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