On pullback attractors in non-autonomous dynamical systems

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The theory of pullback attractors constitutes an important tool to interpret the dynamics of physical, biological or engineering phenomena, as it addresses the study of the asymptotic behavior of nonautonomous dynamic systems, where differential equations explicitly depend on time. The objective of...

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Detalles Bibliográficos
Autor: Vidarte Chavez, Carlos Felipe
Formato: artículo
Fecha de Publicación:2025
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/6641
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641
Nivel de acceso:acceso abierto
Materia:Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
Sistema dinámico
atractor pullback
estimaciones de energía
disipatividad
compacidad asintótica
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spelling On pullback attractors in non-autonomous dynamical systemsSobre atractores pullback en sistemas dinámicos no autónomosOn pullback attractors in non-autonomous dynamical systemsVidarte Chavez, Carlos FelipeDynamic systempullback attractorenergy estimationsdissipativenessasymptotic compactnessSistema dinámicoatractor pullbackestimaciones de energíadisipatividadcompacidad asintóticaDynamic systempullback attractorenergy estimationsdissipativenessasymptotic compactnessThe theory of pullback attractors constitutes an important tool to interpret the dynamics of physical, biological or engineering phenomena, as it addresses the study of the asymptotic behavior of nonautonomous dynamic systems, where differential equations explicitly depend on time. The objective of this article seeks to synthesize recent advances, present some general techniques such as the energy estimations or asymptotic compactness. This work stick out the importance of pullback attractors to model systems with variable coefficients, memory, delays or in non-cylindrical domains and also points out some challenges such as extension to stochastic systems or complex geometries.La teoría de atractores pullback constituye una herramienta importante para interpretar la dinámica de fenómenos Físicos, Biológicos o de Ingeniería, pues abordan el estudio del comportamiento asintótico de sistemas dinámicos no autónomos, donde las ecuaciones diferenciales dependen de forma explícita del tiempo. El objetivo de este artículo busca sintetizar avances recientes, presentar algunas técnicas generales como las estimaciones de energía o la compacidad asintótica. Este trabajo resalta la importancia de los atractores pullback para modelar sistemas con coeficientes variables, memoria, retardos o en dominios no cilíndricos y también señala algunos desafíos como la extensión a sistemas estocásticos o geometrías complejas.The theory of pullback attractors constitutes an important tool to interpret the dynamics of physical, biological or engineering phenomena, as it addresses the study of the asymptotic behavior of nonautonomous dynamic systems, where differential equations explicitly depend on time. The objective of this article seeks to synthesize recent advances, present some general techniques such as the energy estimations or asymptotic compactness. This work stick out the importance of pullback attractors to model systems with variable coefficients, memory, delays or in non-cylindrical domains and also points out some challenges such as extension to stochastic systems or complex geometries.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 243 - 260Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 243 - 260Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 243 - 2602411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641/6873https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66412025-07-26T15:43:48Z
dc.title.none.fl_str_mv On pullback attractors in non-autonomous dynamical systems
Sobre atractores pullback en sistemas dinámicos no autónomos
On pullback attractors in non-autonomous dynamical systems
title On pullback attractors in non-autonomous dynamical systems
spellingShingle On pullback attractors in non-autonomous dynamical systems
Vidarte Chavez, Carlos Felipe
Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
Sistema dinámico
atractor pullback
estimaciones de energía
disipatividad
compacidad asintótica
Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
title_short On pullback attractors in non-autonomous dynamical systems
title_full On pullback attractors in non-autonomous dynamical systems
title_fullStr On pullback attractors in non-autonomous dynamical systems
title_full_unstemmed On pullback attractors in non-autonomous dynamical systems
title_sort On pullback attractors in non-autonomous dynamical systems
dc.creator.none.fl_str_mv Vidarte Chavez, Carlos Felipe
author Vidarte Chavez, Carlos Felipe
author_facet Vidarte Chavez, Carlos Felipe
author_role author
dc.subject.none.fl_str_mv Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
Sistema dinámico
atractor pullback
estimaciones de energía
disipatividad
compacidad asintótica
Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
topic Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
Sistema dinámico
atractor pullback
estimaciones de energía
disipatividad
compacidad asintótica
Dynamic system
pullback attractor
energy estimations
dissipativeness
asymptotic compactness
description The theory of pullback attractors constitutes an important tool to interpret the dynamics of physical, biological or engineering phenomena, as it addresses the study of the asymptotic behavior of nonautonomous dynamic systems, where differential equations explicitly depend on time. The objective of this article seeks to synthesize recent advances, present some general techniques such as the energy estimations or asymptotic compactness. This work stick out the importance of pullback attractors to model systems with variable coefficients, memory, delays or in non-cylindrical domains and also points out some challenges such as extension to stochastic systems or complex geometries.
publishDate 2025
dc.date.none.fl_str_mv 2025-07-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artículo evaluado por pares
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6641/6873
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 243 - 260
Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 243 - 260
Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 243 - 260
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1843350212883513344
score 13.261195
On pullback attractors in non-autonomous dynamical systems
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