Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
Producción Científica
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Estado: | Published version |
| 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 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Nonautonomous dynamical systems Nonautonomous bifurcation theory Critical transitions Population models 12 Matemáticas |
| _version_ | 1878737053486678016 |
|---|---|
| author | Elia, Cinzia |
| author2 | Fabbri, Roberta Núñez Jiménez, María del Carmen |
| author2_role | author author |
| author_browse | Elia, Cinzia Fabbri, Roberta Núñez Jiménez, María del Carmen |
| author_facet | Elia, Cinzia Fabbri, Roberta Núñez Jiménez, María del Carmen |
| author_role | author |
| collection | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| description | Producción Científica |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_99c0baf4bdb2ca76e5fa9c5f65d16a0a |
| institution | Universidad de Valladolid |
| instname_str | Universidad de Valladolid |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:uvadoc.uva.es:10324/76030 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| 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 |
| 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 |
| status_str | publishedVersion |
| title | 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_short | 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 |
| 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 |
| url | https://doi.org/10.1016/j.jde.2025.113315 https://uvadoc.uva.es/handle/10324/76030 |