D-concave nonautonomous differential equations and applications to critical transitions

The results presented in this document delve deeper into nonautonomous bifurcation theory with a view towards critical transitions. Nonautonomous d-concave scalar differential equations have been studied due to their significance in modeling various real-world phenomena. Special interest has been pl...

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Detalles Bibliográficos
Autor: Dueñas Pamplona, Jesús
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/71574
Acceso en línea:https://doi.org/10.35376/10324/71574
https://uvadoc.uva.es/handle/10324/71574
Access Level:acceso abierto
Palabra clave:Matemática Aplicada
Nonautonomous dynamics
Dinámica no autónoma
Bifurcation theory
Teoría de bifurcación
Critical transitions
Transiciones críticas
12 Matemáticas
Descripción
Sumario:The results presented in this document delve deeper into nonautonomous bifurcation theory with a view towards critical transitions. Nonautonomous d-concave scalar differential equations have been studied due to their significance in modeling various real-world phenomena. Special interest has been placed on their applications in ecology, where d-concave equations are frequently employed to describe single species populations subject to the Allee effect.