Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations

Producción Científica

Detalles Bibliográficos
Autores: Dueñas Pamplona, Jesús, Núñez Jiménez, María del Carmen, Obaya, Rafael
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/65981
Acceso en línea:https://doi.org/10.1007/s10884-023-10309-8
https://uvadoc.uva.es/handle/10324/65981
Access Level:acceso abierto
Palabra clave:Nonautonomous dynamical systems
D-concave scalar ODEs
Bifurcation theory
Global attractors
Minimal sets
12 Matemáticas
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spelling Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equationsDueñas Pamplona, JesúsNúñez Jiménez, María del CarmenObaya, RafaelNonautonomous dynamical systemsD-concave scalar ODEsBifurcation theoryGlobal attractorsMinimal sets12 MatemáticasProducción CientíficaThe global bifurcation diagrams for two different one-parametric perturbations (+λx and +λx2 ) of a dissipative scalar nonautonomous ordinary differential equation x′ = f (t, x) are described assuming that 0 is a constant solution, that f is recurrent in t, and that its first derivative with respect to x is a strictly concave function. The use of the skewproduct formalism allows us to identify bifurcations with changes in the number of minimal sets and in the shape of the global attractor. In the case of perturbation +λx, a so-called generalized pitchfork bifurcation may arise, with the particularity of lack of an analogue in autonomous dynamics. This new bifurcation pattern is extensively investigated in this workUniversidad de Valladolid (under project PIP-TCESC-2020)Ministerio de Ciencia, Innovación y Universidades - under project (PID2021-125446NB-I00) and (FPU20/01627)Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLESpringer2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1007/s10884-023-10309-8https://uvadoc.uva.es/handle/10324/65981reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://link.springer.com/article/10.1007/s10884-023-10309-8info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:uvadoc.uva.es:10324/659812026-06-13T12:44:47Z
dc.title.none.fl_str_mv Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
title Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
spellingShingle Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
Dueñas Pamplona, Jesús
Nonautonomous dynamical systems
D-concave scalar ODEs
Bifurcation theory
Global attractors
Minimal sets
12 Matemáticas
title_short Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
title_full Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
title_fullStr Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
title_full_unstemmed Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
title_sort Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
dc.creator.none.fl_str_mv Dueñas Pamplona, Jesús
Núñez Jiménez, María del Carmen
Obaya, Rafael
author Dueñas Pamplona, Jesús
author_facet Dueñas Pamplona, Jesús
Núñez Jiménez, María del Carmen
Obaya, Rafael
author_role author
author2 Núñez Jiménez, María del Carmen
Obaya, Rafael
author2_role author
author
dc.subject.none.fl_str_mv Nonautonomous dynamical systems
D-concave scalar ODEs
Bifurcation theory
Global attractors
Minimal sets
12 Matemáticas
topic Nonautonomous dynamical systems
D-concave scalar ODEs
Bifurcation theory
Global attractors
Minimal sets
12 Matemáticas
description Producción Científica
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/s10884-023-10309-8
https://uvadoc.uva.es/handle/10324/65981
url https://doi.org/10.1007/s10884-023-10309-8
https://uvadoc.uva.es/handle/10324/65981
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://link.springer.com/article/10.1007/s10884-023-10309-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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