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PARAMETERIZED DYNAMICS FOR THE WEIERSTRASS ELLIPTIC FUNCTION OVER SQUARE PERIOD LATTICES

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Publication:3086311
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DOI10.1142/S0218127411028301zbMath1208.37044MaRDI QIDQ3086311

Jane M. Hawkins, Mark McClure

Publication date: 30 March 2011

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


zbMATH Keywords

Julia setscomplex dynamicsmeromorphic functions


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) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)


Related Items

Proof of a folklore Julia set connectedness theorem and connections with elliptic functions



Cites Work

  • Unnamed Item
  • Similarity between the Mandelbrot set and Julia sets
  • 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
  • A family of elliptic functions with Julia set the whole sphere
  • Iteration of meromorphic functions
  • Dynamics of the family 𝜆tan𝑧
  • Parametrized dynamics of the Weierstrass elliptic function
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