Symbolic dynamics for a Sierpinski curve Julia set

DOI10.1080/10236190412331334473zbMath1074.37027OpenAlexW2037914258WikidataQ122877442 ScholiaQ122877442MaRDI QIDQ5693534

Robert L. Devaney, Daniel M. Look

Publication date: 26 September 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190412331334473

zbMATH Keywords

Julia setsrational mapsSierpiński curves

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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) Symbolic dynamics (37B10)

Related Items (6)

The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings ⋮ LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS ⋮ Escape components of McMullen maps ⋮ On the dynamics of the rational family \(f_{t}(z)={-t/4} {(z^{2}-2)^{2}/(z^{2}-1)}\) ⋮ Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps ⋮ On the dynamics of the McMullen family 𝑅(𝑧)=𝑧^{𝑚}+𝜆/𝑧^{ℓ}

Cites Work

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• The escape trichotomy for singularly perturbed rational maps
• Geometry and Dynamics of Quadratic Rational Maps

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