Fibred non-hyperbolic quadratic families

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dc.catalogadorpva
dc.contributor.advisorPonce Acevedo, Mario
dc.contributor.authorDomínguez Calderón, Igsyl
dc.contributor.otherPontificia Universidad Católica de Chile. Facultad de Matemáticas
dc.date.accessioned2024-03-22T15:49:36Z
dc.date.available2024-03-22T15:49:36Z
dc.date.issued2024
dc.date.updated2024-03-22T14:24:40Z
dc.descriptionTesis (Ph.D. degree in Mathematics)--Pontificia Universidad Católica de Chile, 2024
dc.description.abstractThe aim of this thesis is two-folding. In the initial instance, we have made signifIcant progress in the problem of density of hyperbolic components within the context of fibred quadratic polynomial dynamics by demonstrating the existence of robust non- hyperbolic fibred quadratic polynomials. Secondly, we present a more complex class of invariant sets that are distinct from the invariant curves for fibred polynomial dynamics, called multi-curves. Furthermore, a construction for multi-curves in quadratic polynomial dynamics is shown, resulting in the attainment of not only invariant multi-curves, but also with the characteristic of being attracting.
dc.description.funderANID
dc.fechaingreso.objetodigital2024-03-22
dc.format.extent88 páginas
dc.fuente.origenAutoarchivo
dc.identifier.doi10.7764/TesisUC/MAT/84686
dc.identifier.urihttps://doi.org/10.7764/TesisUC/MAT/84686
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/84686
dc.information.autorucFacultad de Matemáticas; Ponce Acevedo, Mario; 0000-0002-6617-3145; 1005831
dc.information.autorucFacultad de Matemáticas; Domínguez Calderón, Igsyl; S/I; 1092697
dc.language.isoen
dc.nota.accesocontenido completo
dc.rightsacceso abierto
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleFibred non-hyperbolic quadratic families
dc.typetesis doctoral
sipa.codpersvinculados1005831
sipa.codpersvinculados1092697
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