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Dissipative flows, global attractors and shape theory
Citation
Barge Yáñez, Héctor 
ORCID: https://orcid.org/0000-0002-6598-7710 and Rodríguez Sanjurjo, Jose Manuel
(2019).
Dissipative flows, global attractors and shape theory.
"Topology and its Applications", v. 258
;
pp. 392-401.
ISSN 0166-8641.
https://doi.org/10.1016/j.topol.2019.03.011.
Description
| Title: | Dissipative flows, global attractors and shape theory |
|---|---|
| Author/s: |
|
| Item Type: | Article |
| Título de Revista/Publicación: | Topology and its Applications |
| Date: | May 2019 |
| ISSN: | 0166-8641 |
| Volume: | 258 |
| Subjects: | |
| Freetext Keywords: | Dissipative flows; Shape; Alexandrov compactification; Conley index; Continuation; Bifurcation |
| Faculty: | E.T.S. de Ingenieros Informáticos (UPM) |
| Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
In this paper we study continuous parametrized families of dissipative flows, which are those flows having a global attractor. The main motivation for this study comes from the observation that, in general, global attractors are not robust, in the sense that small perturbations of the flow can destroy their globality. We give a necessary and sufficient condition for a global attractor to be continued to a global attractor. We also study, using shape theoretical methods and the Conley index, the bifurcation global to non-global.
Funding Projects
Type
Code
Acronym
Leader
Title
Government of Spain
MTM2015- 63612-P
Unspecified
Universidad Complutense de Madrid
Topología de variedades, topología combinatoria y dinámica topológica
More information
| Item ID: | 63818 |
|---|---|
| DC Identifier: | https://oa.upm.es/63818/ |
| OAI Identifier: | oai:oa.upm.es:63818 |
| DOI: | 10.1016/j.topol.2019.03.011 |
| Official URL: | https://www.sciencedirect.com/science/article/pii/... |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 29 Oct 2020 06:15 |
| Last Modified: | 29 Oct 2020 06:15 |
