Fixed point index and decompositions of planar invariant compacta
| dc.contributor.author | Romero Ruiz del Portal, Francisco | |
| dc.contributor.author | Salazar, J. M. | |
| dc.date.accessioned | 2023-06-20T09:46:46Z | |
| dc.date.available | 2023-06-20T09:46:46Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | Let U c R2 be an open subset and let f :U → f (U) c R2 be a homeomorphism. Let M = M1 U· · ·U Mr C U be a disjoint union of discs that isolates the invariant compactum K. The aimof this paper is to study the dynamics of f in K and to use the fixed point index to detect, in a simple and geometric way, the existence of periodic orbits on which f follows a determined pattern. Our method allows us to compute the fixed point index of every iteration of f in a neighborhood of the periodic orbits following a given itinerary in classical and important semidynamical systems with chaotic dynamics. | |
| 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 | MCyT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/19875 | |
| dc.identifier.doi | 10.1016/j.topol.2003.12.013 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/journal/01668641 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50345 | |
| dc.issue.number | 1-3 | |
| dc.journal.title | Topology and its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 223 | |
| dc.page.initial | 207 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | BMF2000-0804-C03-01 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.1 | |
| dc.subject.keyword | Fixed point index | |
| dc.subject.keyword | Conley index | |
| dc.subject.keyword | Filtration pairs | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Fixed point index and decompositions of planar invariant compacta | |
| dc.type | journal article | |
| dc.volume.number | 141 | |
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| dspace.entity.type | Publication |
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