Achievable connectivities of Fatou components for a family of singular perturbations
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Title
Achievable connectivities of Fatou components for a family of singular perturbationsDate
2022-09Publisher
American Institute of Mathematical SciencesBibliographic 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.2022051Type
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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 ... [+]
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]. [-]
Is part of
Discrete and Continuous Dynamical Systems, 2022, 42 (9)Funder Name
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
Project code
MDM-2014-0445 | UJI-B2019-18 | MTM-2017-86795-C3-2-P | 2017 SGR 1374 | FPI PRE2018-086831
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