On the Julia set of the perturbed Mandelbrot map
The paper deals with the Julia set of the perturbed Mandelbrot map (analytic and non-analytic perturbations). Moreover, the authors also study the Julia set of a Mandelbrot map subject to noise. For low strengths of noise, the Julia set is found to be stable. Increase in the strength of noise results in a deterioration of the shape of the Julia set.
scientific article; zbMATH DE number 1501112