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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oai_identifier_str oai:uvadoc.uva.es:10324/76030
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spelling Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients Elia, Cinzia Fabbri, Roberta Núñez Jiménez, María del Carmen Nonautonomous dynamical systems Nonautonomous bifurcation theory Critical transitions Population models 12 Matemáticas Producción Científica Nonautonomous 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. Elsevier https://doi.org/10.1016/j.jde.2025.113315 https://uvadoc.uva.es/handle/10324/76030
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
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
topic Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
topic_facet Nonautonomous dynamical systems
Nonautonomous bifurcation theory
Critical transitions
Population models
12 Matemáticas
description Producción Científica
publishDate 2025
format article
status_str publishedVersion
url https://doi.org/10.1016/j.jde.2025.113315
https://uvadoc.uva.es/handle/10324/76030
eu_rights_str_mv openAccess
publisher Elsevier
institution Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname_str Universidad de Valladolid
_version_ 1878438306802302976
publishDateSort 2025
author_browse Elia, Cinzia
Fabbri, Roberta
Núñez Jiménez, María del Carmen
publisherStr Elsevier
score 6,924472

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