Elliptic Functions with Disconnected Julia Sets

DOI10.1142/S0218127416500954zbMath1343.37036OpenAlexW2460279212WikidataQ123189855 ScholiaQ123189855MaRDI QIDQ3187940

Lorelei Koss

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416500954

zbMATH Keywords

Julia setscomplex dynamicsmeromorphic functions

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Elliptic functions and integrals (33E05)

Related Items (4)

New escape criteria for complex fractals generation in Jungck-CR orbit ⋮ Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ Unnamed Item ⋮ Single and double toral band Fatou components in meromorphic dynamics

Cites Work

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• Iterates of meromorphic functions. IV: Critically finite functions
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Ergodic properties and Julia sets of Weierstrass elliptic functions
• Connectivity properties of Julia sets of Weierstrass elliptic functions
• Connectivity of Julia sets for Weierstrass elliptic functions on square lattices
• Cantor Julia sets in a family of even elliptic functions
• A fundamental dichotomy for Julia sets of a family of elliptic functions
• Iteration of a class of hyperbolic meromorphic functions
• Geometry and Dynamics of Quadratic Rational Maps
• Parametrized dynamics of the Weierstrass elliptic function

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