LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS
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Publication:3498656
DOI10.1142/S0218127406015453zbMath1185.37124WikidataQ122920501 ScholiaQ122920501MaRDI QIDQ3498656
Jane M. Hawkins, Daniel M. Look
Publication date: 16 May 2008
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Neural biology (92C20) Dynamical systems in biology (37N25) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)
Related Items (9)
Connectivity of Julia sets for Weierstrass elliptic functions on square lattices ⋮ An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z) ⋮ A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions ⋮ A family of elliptic functions with Julia set the whole sphere ⋮ Cantor Julia sets in a family of even elliptic functions ⋮ PARAMETERIZED DYNAMICS FOR THE WEIERSTRASS ELLIPTIC FUNCTION OVER SQUARE PERIOD LATTICES ⋮ A fundamental dichotomy for Julia sets of a family of elliptic functions ⋮ Singular perturbations of complex polynomials ⋮ Single and double toral band Fatou components in meromorphic dynamics
Cites Work
- Dynamical properties of some classes of entire functions
- Iterates of meromorphic functions. IV: Critically finite functions
- Ergodic properties and Julia sets of Weierstrass elliptic functions
- Connectivity properties of Julia sets of Weierstrass elliptic functions
- The escape trichotomy for singularly perturbed rational maps
- Iteration of a class of hyperbolic meromorphic functions
- Iteration of meromorphic functions
- HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS
- Parametrized dynamics of the Weierstrass elliptic function
- Symbolic dynamics for a Sierpinski curve Julia set
- Sierpinski-curve Julia sets and singular perturbations of complex polynomials
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