A method to solve the limitations in drawing external rays of the Mandelbrot set

DOI10.1155/2013/105283zbMath1296.65194OpenAlexW2000677912WikidataQ58797360 ScholiaQ58797360MaRDI QIDQ459510

A. B. Orue, Miguel Romera, Marius-F. Danca, Fausto Montoya, Gerardo Pastor, A. Martin

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/105283

Mathematics Subject Classification ID

Fractals (28A80) Graphical methods in numerical analysis (65S05)

Cites Work

• Operating with external arguments in the Mandelbrot set antenna
• An approach to the ordering of one-dimensional quadratic maps.
• Equivalence between subshrubs and chaotic bands in the Mandelbrot set
• Coupling patterns of external arguments in the multiple-spiral medallions of the Mandelbrot set
• A general view of pseudoharmonics and pseudoantiharmonics to calculate external arguments of Douady and Hubbard
• Complex dynamics
• Internal addresses of the Mandelbrot set and Galois groups of polynomials
• Operating with external arguments of Douady and Hubbard
• THE FRACTAL GEOMETRY OF THE MANDELBROT SET 2: HOW TO COUNT AND HOW TO ADD
• ALGORITHM FOR EXTERNAL ARGUMENTS CALCULATION OF THE NODES OF A SHRUB IN THE MANDELBROT SET
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