Extending external rays throughout the Julia sets of rational maps

DOI10.1007/S11784-010-0003-2zbMath1205.37056OpenAlexW2073648170WikidataQ122618183 ScholiaQ122618183MaRDI QIDQ626526

Elizabeth D. Russell, Robert L. Devaney, Figen Çilingir

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0003-2

zbMATH Keywords

Julia setsymbolic dynamicsMandelbrot setexternal rays

Mathematics Subject Classification ID

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 ⋮ A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps ⋮ CHECKERBOARD JULIA SETS FOR RATIONAL MAPS ⋮ Singular perturbations of complex polynomials

Cites Work

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• Topological characterization of the Sierpiński curve
• The escape trichotomy for singularly perturbed rational maps
• Dynamic classification of escape time Sierpiński curve Julia sets
• The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes
• Structure of the McMullen domain in the parameter planes for rational maps
• Dynamics in One Complex Variable. (AM-160)

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