Topology and dynamics of unstable attractors
| dc.contributor.author | Alonso Morón, Manuel | |
| dc.contributor.author | Sánchez Gabites, Jaime Jorge | |
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T09:35:54Z | |
| dc.date.available | 2023-06-20T09:35:54Z | |
| dc.date.issued | 2007 | |
| dc.description | International Conference on Geometric Topology Honoring the 100th Birth Anniversary of Karol Borsuk, JUL 03-10, 2005, Bedlewo, POLAND | en |
| dc.description.abstract | This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in R-n, where unstable attractors are seen to be dynamically complex since they must have external explosions | en |
| 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/15589 | |
| dc.identifier.citation | Alonso Morón, M., Sánchez Gabites, J. J. y Rodríguez Sanjurjo, J. M. «Topology and Dynamics of Unstable Attractors». Fundamenta Mathematicae, vol. 197, 2007, pp. 239-52. DOI.org (Crossref), https://doi.org/10.4064/fm197-0-11. | |
| dc.identifier.doi | 10.4064/fm197-0-11 | |
| dc.identifier.issn | 0016-2736 | |
| dc.identifier.officialurl | https//doi.org/10.4064/fm197-0-11 | |
| dc.identifier.relatedurl | http://helios.impan.gov.pl/cgi-bin/fm/pdf?fm197-0-11 | |
| dc.identifier.relatedurl | http://www.impan.pl/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49998 | |
| dc.journal.title | Fundamenta Mathematicae | |
| dc.page.final | 252 | |
| dc.page.initial | 239 | |
| dc.publisher | Polish acad sciences inst mathematics | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 515.122 | |
| dc.subject.cdu | 515.143 | |
| dc.subject.keyword | Isolated invariant sets | |
| dc.subject.keyword | Spaces | |
| dc.subject.keyword | Shape | |
| dc.subject.keyword | Unstable attractor | |
| dc.subject.keyword | External explosion | |
| dc.subject.keyword | Conley index | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Topology and dynamics of unstable attractors | en |
| dc.type | journal article | |
| dc.volume.number | 197 | |
| dspace.entity.type | Publication | |
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