A family of elliptic functions with Julia set the whole sphere

DOI10.1080/10236190903257859zbMath1221.54045OpenAlexW2009203625WikidataQ122223541 ScholiaQ122223541MaRDI QIDQ3570131

Jane M. Hawkins

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/10.1080/10236190903257859

zbMATH Keywords

Julia setselliptic functionscomplex dynamicsmeromorphic functions

Mathematics Subject Classification ID

Related Items (5)

Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ Cantor Julia sets in a family of even elliptic functions ⋮ PARAMETERIZED DYNAMICS FOR THE WEIERSTRASS ELLIPTIC FUNCTION OVER SQUARE PERIOD LATTICES ⋮ Proof of a folklore Julia set connectedness theorem and connections with elliptic functions ⋮ Unnamed Item

Cites Work

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• Elliptic functions with critical points eventually mapped onto infinity
• 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
• Stable Orbits and Bifurcation of Maps of the Interval
• Iteration of meromorphic functions
• Parametrized dynamics of the Weierstrass elliptic function

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