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The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative. (English) Zbl 1160.37372

Summary: 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.

MSC:

37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations (MSC2010)
28A80 Fractals
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