A Mandelpinski maze for rational maps of the form \(z^n + \lambda / z^d\)

DOI10.1016/J.INDAG.2015.10.004zbMath1358.37085OpenAlexW2152298155MaRDI QIDQ344713

Robert L. Devaney

Publication date: 24 November 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.10.004

zbMATH Keywords

Julia setsrational mapsMandelpinski maze

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (5)

RINGS AROUND SIERPINSKI HOLES ⋮ Generalized rings around the McMullen domain ⋮ Mandelpinski structures in the parameter planes of rational maps ⋮ Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions ⋮ Relating singularly perturbed rational maps to families of entire maps

Cites Work

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• Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps
• Mandelpinski spokes in the parameter planes of rational maps
• Singular perturbations of complex polynomials
• The escape trichotomy for singularly perturbed rational maps
• On the dynamics of polynomial-like mappings
• A combinatorial invariant for escape time Sierpiński rational maps
• Structure of the McMullen domain in the parameter planes for rational maps
• Dynamics in One Complex Variable. (AM-160)

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