Dynamic noise perturbed generalized superior Mandelbrot sets

摘要

The invention of the latest tools and technology toward computer aided graphics and drawing completely change the thinking view of researchers in analyzing and studying the behavior of a dynamical system. Inspired by work already performed and by adopting the experimental mathematical methods of combining the theory of analytic function with computer aided drawing technology, we generated generalized superior Mandelbrot sets (SM-sets). Also, we analyzed the effect of dynamic noise on SM-sets.