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 perturbationsData de publicació
2022-09Editor
American Institute of Mathematical SciencesCita bibliogràfica
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.2022051Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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]. [-]
Publicat a
Discrete and Continuous Dynamical Systems, 2022, 42 (9)Entitat finançadora
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
Codi del projecte o subvenció
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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