Planar isolated and stable fixed points have
index =1
| dc.contributor.author | Romero Ruiz del Portal, Francisco | |
| dc.date.accessioned | 2023-06-20T09:46:37Z | |
| dc.date.available | 2023-06-20T09:46:37Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | Let WCR2 be an open subset and f :W-f ðWÞCR2 be an orientation reversing homeomorphism. We prove that if pAW is an isolated and stable fixed point of f then the fixed point index of f at p; iR2 ð f ; pÞ; is 1. We apply our theorem to the study of the orbital stability of isolated periodic orbits of flows in four-dimensional riemannian manifolds. | |
| 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.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/18171 | |
| dc.identifier.doi | 10.1016/j.jde.2003.11.002 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/journal/00220396 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50341 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Differential Equations | |
| dc.language.iso | eng | |
| dc.page.final | 188 | |
| dc.page.initial | 179 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Isolated periodic orbits | |
| dc.subject.keyword | Flows | |
| dc.subject.keyword | Stability | |
| dc.subject.keyword | Fixed-point index | |
| dc.subject.keyword | Prime ends compactification | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Planar isolated and stable fixed points have index =1 | |
| dc.type | journal article | |
| dc.volume.number | 199 | |
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| dspace.entity.type | Publication |
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