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The general quaternion Mandelbrot sets (abbreviated as M sets) with the additive and multiplicative dynamic noise perturbations are constructed. The topology structures and the fission evolutions of the M sets are investigated, and the boundaries the stability regions are calculated. Plenty of experiments and analysis indicate that the additive dynamic noise makes M sets displace from the original...
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 additive perturbed generalized Mandelbrot–Julia sets (generalized M–J sets in short). The corresponding relationship between point coordinates in generalized M set and the general structure of generalized...
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