On numerical approximations of the area of the generalized Mandelbrot sets

DOI10.1016/j.amc.2013.04.052zbMath1304.28001OpenAlexW2043601248MaRDI QIDQ482452

Theodoros E. Karakasidis, Ioannis Andreadis

Publication date: 30 December 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.052

zbMATH Keywords

arealattice pointsgeneralized Mandelbrot setfinite escape algorithm

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (5)

Numeric characteristics of generalized M-set with its asymptote ⋮ A brief note on fractal dynamics of fractional Mandelbrot sets ⋮ Research on characteristics of noise-perturbed M-J sets based on equipotential point algorithm ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ Fractal generation method based on asymptote family of generalized Mandelbrot set and its application

Cites Work

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• On a topological closeness of perturbed Mandelbrot sets
• The divisor periodic point of escape-time \(N\) of the Mandelbrot set
• Noise perturbed generalized Mandelbrot sets
• The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative
• The area of the Mandelbrot set
• Physical meaning for Mandelbrot and Julia sets
• Additive perturbed generalized Mandelbrot-Julia sets
• Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques
• A Course in Multivariable Calculus and Analysis
• GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH

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