Geometric limits of Julia sets and connectedness locus of the family of polynomials Pc(z) = zn + czk

DOI10.1080/14689367.2019.1593321zbMath1456.37046OpenAlexW2924562375WikidataQ123352799 ScholiaQ123352799MaRDI QIDQ5240660

Alexandre Miranda Alves

Publication date: 29 October 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2019.1593321

zbMATH Keywords

Julia setcomplex dynamicsgeometric limitsconnectedness locus

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Geometric limits in holomorphic dynamics (37F40) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (4)

Geometric limits of Julia sets for sums of power maps and polynomials ⋮ Geometric limits of mixed families ⋮ Dynamical convergence of polynomials to products of power maps and the exponential ⋮ Geometric limit of Julia set of a family of rational functions with odd degree

Cites Work

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• The iteration of cubic polynomials. I: The global topology of parameter space
• Complex dynamics
• Hyperbolic components of polynomials with a fixed critical point of maximal order
• The dynamics of rational transforms: the topological picture
• Local connectedness of the Julia set of the family $z^m(z^n-b)$
• GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
• A note on the connectedness locus of the families of polynomials Pc(z)=z n - cz n-j
• Dynamics in One Complex Variable. (AM-160)

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