THE FRACTAL GEOMETRY OF THE MANDELBROT SET 2: HOW TO COUNT AND HOW TO ADD

DOI10.1142/S0218348X95000564zbMath0929.37016OpenAlexW2166597943MaRDI QIDQ3129962

Robert L. Devaney

Publication date: 28 May 1997

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x95000564

zbMATH Keywords

Fibonacci sequencecomplex dynamicsrotation numbersMandelbrot setfundamental dichotomyperiods of bulks

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (8)

Equivalence between subshrubs and chaotic bands in the Mandelbrot set ⋮ Cause and origin of Moire interferences in recursive processes and with fixed-point and floating-point data types ⋮ A method to solve the limitations in drawing external rays of the Mandelbrot set ⋮ GEOMETRY OF THE ANTENNAS IN THE MANDELBROT SET ⋮ New Julia sets for complex Carotid-Kundalini function ⋮ Midgets of superior Mandelbrot set ⋮ Shrubs in the Mandelbrot Set Ordering ⋮ Parameter Planes for Complex Analytic Maps

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