Achievable connectivities of Fatou components for a family of singular perturbations
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Achievable connectivities of Fatou components for a family of singular perturbationsFecha de publicación
2022-09Editor
American Institute of Mathematical SciencesCita bibliográfica
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.2022051Tipo de documento
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info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
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 ... [+]
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]. [-]
Publicado en
Discrete and Continuous Dynamical Systems, 2022, 42 (9)Entidad financiadora
Spanish Ministry of Economy and Competitiveness, through the María de Maeztu Programme for Units of Excellence n R&D | BGSMath Banco de Santander Postdoctoral 2017 | Universitat Jaume I | MINECO-AEI | AGAUR
Código del proyecto o subvención
MDM-2014-0445 | UJI-B2019-18 | MTM-2017-86795-C3-2-P | 2017 SGR 1374 | FPI PRE2018-086831
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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