Elliptic functions with critical orbits approaching infinity

DOI10.1080/10236190903203895zbMath1230.37059OpenAlexW2032302642WikidataQ115181046 ScholiaQ115181046MaRDI QIDQ3570132

Jane M. Hawkins, Lorelei Koss, Janina Kotus

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/10.1080/10236190903203895

zbMATH Keywords

Julia setmeromorphic functionFatou setelliptic function

Mathematics Subject Classification ID

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) Meromorphic functions of one complex variable (general theory) (30D30) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (4)

Hausdorff dimension of the set of elliptic functions with critical values approaching infinity ⋮ Cantor Julia sets in a family of even elliptic functions ⋮ Stability of Cantor Julia sets in the space of iterated elliptic functions ⋮ A fundamental dichotomy for Julia sets of a family of elliptic functions

Cites Work

• Unnamed Item
• Elliptic functions with critical points eventually mapped onto infinity
• Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
• Ergodic properties and Julia sets of Weierstrass elliptic functions
• Geometry and ergodic theory on non-recurrent elliptic functions
• Connectivity properties of Julia sets of Weierstrass elliptic functions
• Iteration of a class of hyperbolic meromorphic functions
• Iteration of meromorphic functions
• Dynamics of the family 𝜆tan𝑧
• HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS
• Parametrized dynamics of the Weierstrass elliptic function

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