The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative

Adopting the experimental mathematics method combining complex variable function theory with computer aided drawing, this paper researches on the structural characteristic and the fission–evolution law of the generalized Mandelbrot set (generalized M set in short) perturbed by composing noise of additive and multiplicative, analyzes the effect of random perturbation to the generalized M set.