On a topological closeness of perturbed Mandelbrot sets

DOI10.1016/J.AMC.2009.11.006zbMath1183.65170OpenAlexW2031879246MaRDI QIDQ846486

Ioannis Andreadis, Theodoros E. Karakasidis

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.006

zbMATH Keywords

deformationdistanceMandelbrot setfractalgraphical examplesadditive dynamic noise Mandelbrot mapcomplex logistic mapdeviation plot

Mathematics Subject Classification ID

Fractals (28A80) Numerical chaos (65P20)

Related Items (12)

On the spatial Julia set generated by fractional Lotka-Volterra system with noise ⋮ Generalized quaternion M sets and Julia sets perturbed by dynamical noises ⋮ A brief note on fractal dynamics of fractional Mandelbrot sets ⋮ On a topological closeness of perturbed Julia sets ⋮ Fractional quantum Julia set ⋮ 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 ⋮ Calculation of the structure of a shrub in the Mandelbrot set ⋮ On numerical approximations of the area of the generalized Mandelbrot sets ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ The symmetry in the noise-perturbed Mandelbrot set ⋮ A NEW STABLE INTERNAL STRUCTURE OF THE MANDELBROT SET DURING THE ITERATION PROCESS

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• A new approach to dynamic noise on superior Mandelbrot set
• On the Julia sets of a noise-perturbed Mandelbrot map

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