Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients

Producción Científica

Detalles Bibliográficos
Autores: Elia, Cinzia, Fabbri, Roberta, Núñez Jiménez, María del Carmen
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/76030
Acceso en línea:https://doi.org/10.1016/j.jde.2025.113315
https://uvadoc.uva.es/handle/10324/76030
Access Level:acceso abierto
Palabra clave:Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
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spelling Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficientsElia, CinziaFabbri, RobertaNúñez Jiménez, María del CarmenNonautonomous dynamical systemsNonautonomous bifurcation theoryCritical transitionsPopulation models12 MatemáticasProducción CientíficaNonautonomous bifurcation theory is a growing branch of mathematics, for the insight it provides into radical changes in the global dynamics of realistic models for many real-world phenomena, i.e., into the oc- currence of critical transitions. This paper describes several global bifurcation diagrams for nonautonomous first order scalar ordinary differential equations generated by coercive third degree polynomials in the state variable. The conclusions are applied to a population dynamics model subject to an Allee effect that is weak in the absence of migration and becomes strong under a migratory phenomenon whose sense and intensity depend on a threshold in the number of individuals in the population.Elsevier2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1016/j.jde.2025.113315https://uvadoc.uva.es/handle/10324/76030reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://www.sciencedirect.com/science/article/pii/S0022039625003420info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:uvadoc.uva.es:10324/760302026-06-13T12:44:47Z
dc.title.none.fl_str_mv Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
title Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
spellingShingle Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
Elia, Cinzia
Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
title_short Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
title_full Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
title_fullStr Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
title_full_unstemmed Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
title_sort Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
dc.creator.none.fl_str_mv Elia, Cinzia
Fabbri, Roberta
Núñez Jiménez, María del Carmen
author Elia, Cinzia
author_facet Elia, Cinzia
Fabbri, Roberta
Núñez Jiménez, María del Carmen
author_role author
author2 Fabbri, Roberta
Núñez Jiménez, María del Carmen
author2_role author
author
dc.subject.none.fl_str_mv Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
topic Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
description Producción Científica
publishDate 2025
dc.date.none.fl_str_mv 2025
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/10.1016/j.jde.2025.113315
https://uvadoc.uva.es/handle/10324/76030
url https://doi.org/10.1016/j.jde.2025.113315
https://uvadoc.uva.es/handle/10324/76030
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S0022039625003420
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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 15.811543

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