On the topology of the boundary of a basin of attraction
| dc.contributor.author | Sánchez Gabites, Jaime Jorge | |
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T09:40:18Z | |
| dc.date.available | 2023-06-20T09:40:18Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | Suppose phi : M x R -> M is a continuous flow on a locally compact metrizable space M and K is an ( asymptotically stable) attractor. Let D =partial derivative A( K) be the boundary of the basin of attraction of K. In the present paper it will be shown how the Conley index of D plays an important role in determining the topological nature of D and allows one to obtain information about the global dynamics of phi in M. | |
| 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/16805 | |
| dc.identifier.doi | 10.1090/S0002-9939-07-08972-1 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.officialurl | http://www.ams.org/journals/proc/2007-135-12/S0002-9939-07-08972-1/S0002-9939-07-08972-1.pdf | |
| dc.identifier.relatedurl | http://www.ams.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50153 | |
| dc.issue.number | 12 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 4098 | |
| dc.page.initial | 4087 | |
| dc.publisher | American Mathematical Society | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | On the topology of the boundary of a basin of attraction | |
| dc.type | journal article | |
| dc.volume.number | 135 | |
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| dspace.entity.type | Publication | |
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| relation.isAuthorOfPublication | f54f1d9d-37e9-4c15-9d97-e34a6343e575 | |
| relation.isAuthorOfPublication.latestForDiscovery | 59e9082d-866d-4344-a683-81ca8f8d841d |
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