Achievable connectivities of Fatou components for a family of singular perturbations

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dc.contributor.authorCanela Sánchez, Jordi
dc.contributor.authorJarque i Ribera, Xavier
dc.contributor.authorParaschiv, Dan Alexandru
dc.date.accessioned2023-01-11T10:19:00Z
dc.date.available2023-08-31T05:10:14Z
dc.date.issued2022-08
dc.date.updated2023-01-11T10:19:00Z
dc.description.abstractIn this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps present Fatou components of arbitrarily large connectivity and we determine precisely these connectivities. In particular, these results extend the ones obtained in [5,6].
dc.format.extent25 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec727871
dc.identifier.issn1078-0947
dc.identifier.urihttps://hdl.handle.net/2445/192082
dc.language.isoeng
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.3934/dcds.2022051
dc.relation.ispartofDiscrete and Continuous Dynamical Systems-Series A, 2022, vol. 42, num. 9, p. 4237-4261
dc.relation.urihttps://doi.org/10.3934/dcds.2022051
dc.rights(c) American Institute of Mathematical Sciences (AIMS), 2022
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes dinàmics complexos
dc.subject.classificationPertorbacions singulars (Matemàtica)
dc.subject.classificationFuncions meromorfes
dc.subject.classificationFuncions de variables complexes
dc.subject.otherComplex dynamical systems
dc.subject.otherSingular perturbations (Mathematics)
dc.subject.otherMeromorphic functions
dc.subject.otherFunctions of complex variables
dc.titleAchievable connectivities of Fatou components for a family of singular perturbations
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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