2021/02/01 by Jordi Canela, Canela, Jordi, Xavier Jarque +3
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2102.00864
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 [Can17, Can18].