Robustness of dynamically gradient multivalued dynamical systems
In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion studied in J. M. Arrieta, A. Rodríguez-Bernal and J. Valero, Dynamics of a reacti...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/84141 |
| Acesso em linha: | https://hdl.handle.net/11441/84141 https://doi.org/10.3934/dcdsb.2019006 |
| Access Level: | acceso abierto |
| Palavra-chave: | Attractors Reaction-diffusion equations Stability Dynamically gradient multivalued semiflows Morse decomposition Set-valued dynamical systems |
| Resumo: | In this paper we study the robustness of dynamically gradient multivalued semiflows. As an application, we describe the dynamical properties of a family of Chafee-Infante problems approximating a differential inclusion studied in J. M. Arrieta, A. Rodríguez-Bernal and J. Valero, Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity, International Journal of Bifurcation and Chaos, 16 (2006), 2965-2984, proving that the weak solutions of these problems generate a dynamically gradient multivalued semiflow with respect to suitable Morse sets. |
|---|