Template iterations of quadratic maps and hybrid Mandelbrot sets

DOI10.1007/s00332-020-09675-0zbMath1462.30049arXiv1609.03949OpenAlexW3126769181MaRDI QIDQ2022643

Brandee Williams, Anca Rǎdulescu, Kelsey Butera

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03949

zbMATH Keywords

Mandelbrot setiterations of two quadratic maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Random iterations of rational functions
• Iterated Random Functions
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• Preservation of external rays in non-autonomous iteration
• Hyperbolic non-autonomous Julia sets
• Dynamics in One Complex Variable. (AM-160)
• Geometric properties of Julia sets of the composition of polynomials of the form \(z^ 2+c_ n\).

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