Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations
Producción Científica
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Universidad de Valladolid |
| Repository: | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| OAI Identifier: | oai:uvadoc.uva.es:10324/58921 |
| Online Access: | https://doi.org/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |
| Access Level: | Open access |
| Keyword: | Matemáticas Álgebra Ecuaciones diferenciales Nonautonomous dynamical systems D-concave scalar ODEs Bifurcation theory Minimal sets Sistemas dinámicos no autónomos EDO escalares D-cóncavas Teoría de la bifurcación Conjuntos mínimos 12 Matemáticas |
| _version_ | 1878736244844789760 |
|---|---|
| author | Dueñas Pamplona, Jesús |
| author2 | Núñez Jiménez, María del Carmen Obaya, Rafael |
| author2_role | author author |
| author_browse | Dueñas Pamplona, Jesús Núñez Jiménez, María del Carmen Obaya, Rafael |
| author_facet | Dueñas Pamplona, Jesús Núñez Jiménez, María del Carmen Obaya, Rafael |
| author_role | author |
| collection | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| description | Producción Científica |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_8ba724434a964d07fa18714ecb5474ab |
| institution | Universidad de Valladolid |
| instname_str | Universidad de Valladolid |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:uvadoc.uva.es:10324/58921 |
| publishDate | 2023 |
| publishDateSort | 2023 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | UVaDOC. Repositorio Documental de la Universidad de Valladolid |
| spelling | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations Dueñas Pamplona, Jesús Núñez Jiménez, María del Carmen Obaya, Rafael Matemáticas Álgebra Ecuaciones diferenciales Nonautonomous dynamical systems D-concave scalar ODEs Bifurcation theory Minimal sets Sistemas dinámicos no autónomos EDO escalares D-cóncavas Teoría de la bifurcación Conjuntos mínimos 12 Matemáticas Producción Científica Two one-parametric bifurcation problems for scalar nonautonomous ordinary differential equations are analyzed assuming the coercivity of the time-dependent function determining the equation and the concavity of its derivative with respect to the state variable. The skewproduct formalism leads to the analysis of the number and properties of the minimal sets and of the shape of the global attractor, whose abrupt variations determine the occurrence of local saddle-node, local transcritical and global pitchfork bifurcation points of minimal sets and of discontinuity points of the global attractor. Ministerio de Ciencia, Innovación - Ministerio de Universidades (RTI2018- 096523-B-I00) Universidad de Valladolid (PIP-TCESC-2020) Ministerio de Universidades (FPU20/01627) Elsevier https://doi.org/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |
| spellingShingle | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations Dueñas Pamplona, Jesús Matemáticas Álgebra Ecuaciones diferenciales Nonautonomous dynamical systems D-concave scalar ODEs Bifurcation theory Minimal sets Sistemas dinámicos no autónomos EDO escalares D-cóncavas Teoría de la bifurcación Conjuntos mínimos 12 Matemáticas |
| status_str | publishedVersion |
| title | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title_full | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title_fullStr | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title_full_unstemmed | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title_short | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title_sort | Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| topic | Matemáticas Álgebra Ecuaciones diferenciales Nonautonomous dynamical systems D-concave scalar ODEs Bifurcation theory Minimal sets Sistemas dinámicos no autónomos EDO escalares D-cóncavas Teoría de la bifurcación Conjuntos mínimos 12 Matemáticas |
| topic_facet | Matemáticas Álgebra Ecuaciones diferenciales Nonautonomous dynamical systems D-concave scalar ODEs Bifurcation theory Minimal sets Sistemas dinámicos no autónomos EDO escalares D-cóncavas Teoría de la bifurcación Conjuntos mínimos 12 Matemáticas |
| url | https://doi.org/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |