On the Julia set of the perturbed Mandelbrot map (Q1577201)

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scientific article; zbMATH DE number 1501112
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English
On the Julia set of the perturbed Mandelbrot map
scientific article; zbMATH DE number 1501112

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    On the Julia set of the perturbed Mandelbrot map (English)
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    15 February 2001
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    The paper deals with the Julia set of the perturbed Mandelbrot map (analytic and non-analytic perturbations). Moreover, the authors also study the Julia set of a Mandelbrot map subject to noise. For low strengths of noise, the Julia set is found to be stable. Increase in the strength of noise results in a deterioration of the shape of the Julia set.
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    Julia set
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    perturbed Mandelbrot map
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    non-analytic perturbations
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    noise
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