Cantor Julia sets in a family of even elliptic functions

DOI10.1080/10236190903217796zbMath1221.54046OpenAlexW2043311485WikidataQ122395018 ScholiaQ122395018MaRDI QIDQ3570137

Lorelei Koss

Publication date: 24 June 2010

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

Full work available at URL: https://doi.org/10.1080/10236190903217796

zbMATH Keywords

Julia setscomplex dynamicsmeromorphic functions

Mathematics Subject Classification ID

Related Items (5)

Elliptic Functions with Disconnected Julia Sets ⋮ Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ A fundamental dichotomy for Julia sets of a family of elliptic functions ⋮ Unnamed Item ⋮ Single and double toral band Fatou components in meromorphic dynamics

Cites Work

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• Dynamical properties of the derivative of the Weierstrass elliptic function
• Ergodic properties and Julia sets of Weierstrass elliptic functions
• Connectivity properties of Julia sets of Weierstrass elliptic functions
• LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS
• A family of elliptic functions with Julia set the whole sphere
• Elliptic functions with critical orbits approaching infinity
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions
• Dynamics of the family 𝜆tan𝑧
• Bifurcation to an entire function
• Parametrized dynamics of the Weierstrass elliptic function

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