CHECKERBOARD JULIA SETS FOR RATIONAL MAPS

DOI10.1142/S0218127413300048zbMath1270.37033arXiv1103.3803OpenAlexW2145578226WikidataQ123302565 ScholiaQ123302565MaRDI QIDQ2845135

Figen Çilingir, Daniel M. Look, Daniel Cuzzocreo, Robert L. Devaney, Elizabeth D. Russell, Paul R. Blanchard

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3803

zbMATH Keywords

Julia setsymbolic dynamicsMandelbrot set

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamical aspects of cellular automata (37B15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (6)

Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\) ⋮ Generalized rings around the McMullen domain ⋮ DYNAMICS OF NONHOLOMORPHIC SINGULAR CONTINUATIONS: A CASE IN RADIAL SYMMETRY ⋮ Proof of a folklore Julia set connectedness theorem and connections with elliptic functions ⋮ Singular perturbations of complex polynomials ⋮ Parameter Planes for Complex Analytic Maps

Cites Work

• Extending external rays throughout the Julia sets of rational maps
• Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps
• Buried Sierpinski curve Julia sets
• The escape trichotomy for singularly perturbed rational maps
• Dynamic classification of escape time Sierpiński curve Julia sets
• Geometry and Dynamics of Quadratic Rational Maps
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials

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