On the Mandelbrot set of perturbed cubic complex polynomials
Year: 2024
Type: article
Abstract: This article discusses the effect of perturbed noise that breaking up the symmetry of the Mandelbrot set. We apply the ’symmetrical criterion’ to quantitatively compare the impairment of the Mandelbrot set caused by perturbed noise which is produced by additive, multiplicative, analytic, non-analytic noise. A non-even distribution among the core and edge positions of a noise-perturbed Mandelbrot set. This depicts to a comparison result to conclude a paradox between the quantified result and visual sense. We also provided alternative applications caused by ascendancy of noise for a particular consideration of Mandelbrot set. Therefore, we set up a stage of testing the steadiness of the set under stochastic perturbations.
Source: Research in Mathematics
Author: Santanu Nandi
Institution: VIT-AP University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401819782