Attractors for impulsive non-autonomous dynamical systems and their relations
In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the cocycle attractor, the uniform attractor and the globa...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/52711 |
| Acesso em linha: | http://hdl.handle.net/11441/52711 https://doi.org/10.1016/j.jde.2016.11.036 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Non-autonomous dynamical system Impulses Skew-product semiflow Global attractor C-global attractor Uniform attractor Cocycle attractor |
| Resumo: | In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the cocycle attractor, the uniform attractor and the global attractor for the impulsive skew-product semiflow. Lastly, we illustrate our theory by exhibiting an example of a non-classical non-autonomous parabolic equation with subcritical nonlinearity and impulses. |
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