Julia sets converging to filled quadratic Julia sets

DOI10.1017/ETDS.2012.115zbMath1291.37061OpenAlexW2169256438WikidataQ120907567 ScholiaQ120907567MaRDI QIDQ5408734

Robert Kozma, Robert L. Devaney

Publication date: 11 April 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2012.115

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 (4)

Singular perturbations with multiple poles of the simple polynomials ⋮ Exotic topology in complex dynamics ⋮ Singular perturbations of the unicritical polynomials with two parameters ⋮ Singular perturbations of complex polynomials

Cites Work

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• Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps
• The escape trichotomy for singularly perturbed rational maps
• Singular perturbations in the quadratic family
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• LIMITING JULIA SETS FOR SINGULARLY PERTURBED RATIONAL MAPS
• Cantor sets of circles of Sierpiński curve Julia sets
• Julia sets converging to the unit disk
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials

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