Noise perturbed generalized Mandelbrot sets |
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| Authors: | Xingyuan Wang Zhen Wang Yahui Lang Zhenfeng Zhang |
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| Affiliation: | School of Electronic & Information Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Adopting the experimental mathematics method of combining the theory of analytic function of one complex variable with computer aided drawing, in this paper on the structure characteristics and the discontinuity evolution law of the additive noise perturbed generalized Mandelbrot sets (M-sets) was studied. On the influence of stochastic perturbed parameters of the structure of generalized M-sets was analyzed. The physical meaning of the additive noise perturbed generalized M-sets was expounded. |
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| Keywords: | Noise perturbed Generalized M-sets Fractal Brownian movement |
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