Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632300 | Applied Mathematics and Computation | 2010 | 10 Pages |
Abstract
In the present work we propose a numerical and visual tool for the study of the deformation of the Mandelbrot sets of perturbed Mandelbrot maps by noise in comparison with the original Mandelbrot set. Further, by employing these numerical tools, we support the invariance of the Mandelbrot set of a noise-perturbed Mandelbrot map under different noise realizations. Finally, we provide evidence for the non-fractal structure of the Mandelbrot set of a noise-perturbed Mandelbrot map.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ioannis Andreadis, Theodoros E. Karakasidis,