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Achievable connectivities of Fatou components for a family of singular perturbations
dc.contributor.author | Canela, Jordi | |
dc.contributor.author | Jarque, Xavier | |
dc.contributor.author | Paraschiv, Dan | |
dc.date.accessioned | 2022-09-23T09:31:44Z | |
dc.date.available | 2022-09-23T09:31:44Z | |
dc.date.issued | 2022-09 | |
dc.identifier.citation | Jordi Canela, Xavier Jarque, Dan Paraschiv. Achievable connectivities of Fatou components for a family of singular perturbations. Discrete and Continuous Dynamical Systems, 2022, 42 (9) : 4237-4261. doi: 10.3934/dcds.2022051 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/199765 | |
dc.description.abstract | In 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]. | ca_CA |
dc.format.extent | 26 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Institute of Mathematical Sciences | ca_CA |
dc.relation.isPartOf | Discrete and Continuous Dynamical Systems, 2022, 42 (9) | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | ca_CA |
dc.subject | Fatou and Julia sets | ca_CA |
dc.subject | rational maps | ca_CA |
dc.subject | singular perturbation | ca_CA |
dc.subject | connectivity of Fatou components | ca_CA |
dc.subject | holomorphic dynamics | ca_CA |
dc.title | Achievable connectivities of Fatou components for a family of singular perturbations | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | 10.3934/dcds.2022051 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
project.funder.name | Spanish Ministry of Economy and Competitiveness, through the María de Maeztu Programme for Units of Excellence n R&D | ca_CA |
project.funder.name | BGSMath Banco de Santander Postdoctoral 2017 | ca_CA |
project.funder.name | Universitat Jaume I | ca_CA |
project.funder.name | MINECO-AEI | ca_CA |
project.funder.name | AGAUR | ca_CA |
oaire.awardNumber | MDM-2014-0445 | ca_CA |
oaire.awardNumber | UJI-B2019-18 | ca_CA |
oaire.awardNumber | MTM-2017-86795-C3-2-P | ca_CA |
oaire.awardNumber | 2017 SGR 1374 | ca_CA |
oaire.awardNumber | FPI PRE2018-086831 | ca_CA |
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