On the fine structure of the global attractor of a uniformly persistent flow
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T00:17:40Z | |
| dc.date.available | 2023-06-20T00:17:40Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | We study the internal structure of the global attractor of a uniformly persistent flow. We show that the restriction of the flow to the global attractor has duality properties which can be expressed in terms of certain attractor-repeller decompositions. We also study some natural Morse decompositions of the flow and calculate their Morse equations. These equations provide necessary and sufficient conditions for the existence of attractors with the shape of S-1 or such that their suspension has spherical shape. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16728 | |
| dc.identifier.doi | 10.1016/j.jde.2012.01.036 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022039612000605 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42345 | |
| dc.issue.number | 9 | |
| dc.journal.title | Journal of Differential Equations | |
| dc.language.iso | eng | |
| dc.page.final | 4897 | |
| dc.page.initial | 4886 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Uniform persistence | |
| dc.subject.keyword | Attractor | |
| dc.subject.keyword | Repeller | |
| dc.subject.keyword | Robustness | |
| dc.subject.keyword | Continuation | |
| dc.subject.keyword | Morse equations | |
| dc.subject.keyword | Shape | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On the fine structure of the global attractor of a uniformly persistent flow | |
| dc.type | journal article | |
| dc.volume.number | 252 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f54f1d9d-37e9-4c15-9d97-e34a6343e575 | |
| relation.isAuthorOfPublication.latestForDiscovery | f54f1d9d-37e9-4c15-9d97-e34a6343e575 |
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