Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations
Producción Científica
| Autores: | , , |
|---|---|
| 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:10324/58921 |
| Acceso en línea: | https://doi.org/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
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Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equationsDueñas Pamplona, JesúsNúñez Jiménez, María del CarmenObaya, RafaelMatemáticasÁlgebraEcuaciones diferencialesNonautonomous dynamical systemsD-concave scalar ODEsBifurcation theoryMinimal setsSistemas dinámicos no autónomosEDO escalares D-cóncavasTeoría de la bifurcaciónConjuntos mínimos12 MatemáticasProducción CientíficaTwo 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)Elsevier2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://doi.org/10.1016/j.jde.2023.02.051https://uvadoc.uva.es/handle/10324/58921reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://www.sciencedirect.com/science/article/pii/S002203962300133X?via%3Dihubinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:uvadoc.uva.es:10324/589212026-06-13T12:44:47Z |
| dc.title.none.fl_str_mv |
Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| title |
Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations |
| 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 |
| title_short |
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_sort |
Bifurcation theory of attractors and minimal sets 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 |
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 |
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 |
| 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/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |
| url |
https://doi.org/10.1016/j.jde.2023.02.051 https://uvadoc.uva.es/handle/10324/58921 |
| 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/S002203962300133X?via%3Dihub |
| 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 |
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reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid instname:Universidad de Valladolid |
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Universidad de Valladolid |
| reponame_str |
UVaDOC. Repositorio Documental de la Universidad de Valladolid |
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UVaDOC. Repositorio Documental de la Universidad de Valladolid |
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1869412840828305408 |
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15,300719 |