Shape properties of the boundary of attractors
| dc.contributor.author | Sánchez Gabites, Jaime Jorge | |
| dc.contributor.author | Rodríguez Sanjurjo, José Manuel | |
| dc.date.accessioned | 2023-06-20T10:35:46Z | |
| dc.date.available | 2023-06-20T10:35:46Z | |
| dc.date.issued | 2007-06 | |
| dc.description.abstract | A compact stable attractor K of a continuous flow on a locally compact metric space is shape equivalent to a compact positively invariant neighbourhood P in its basin of attraction, the shape equivalence being induced by the inclusion map. In the present article a simple counterexample is given to show that ∂K is in general not shape equivalent to ∂P , and an inquiry is set afoot as to the circumstances under which ∂K is shape equivalent to or shape dominates ∂P . | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGI | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21809 | |
| dc.identifier.issn | 0017-095X | |
| dc.identifier.officialurl | http://web.math.pmf.unizg.hr/glasnik/vol_42/vol42no1.html | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50706 | |
| dc.issue.number | 1 | |
| dc.journal.title | Glasnik Matematicki Series III | |
| dc.language.iso | eng | |
| dc.page.final | 130 | |
| dc.page.initial | 117 | |
| dc.publisher | Croatian Mathematical Society; Department of Mathematics, University of Zagreb | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Dynamical systems | |
| dc.subject.keyword | attractors | |
| dc.subject.keyword | boundary of attractors | |
| dc.subject.keyword | shape | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Shape properties of the boundary of attractors | |
| dc.type | journal article | |
| dc.volume.number | 42 | |
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