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Título:
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An effective algorithm to compute Mandelbrot sets in parameter planes.
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Autor/a:
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Garijo Real, Antonio; Jarque i Ribera, Xavier; Villadelprat, Jordi
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Otros autores:
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Universitat de Barcelona |
Abstract:
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McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus for generic families of rational maps. We develop an algorithm to an effective computation of the location and size of these generalized Mandelbrot sets in parameter space. We illustrate the effectiveness of the algorithm by applying it to concrete families of rational and entire maps. |
Materia(s):
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-Sistemes dinàmics complexos -Teoria de la mesura -Equacions funcionals -Desigualtats (Matemàtica) -Complex dynamical systems -Measure theory -Functional equations -Inequalities (Mathematics) |
Derechos:
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(c) Springer Verlag, 2017
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Tipo de documento:
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Artículo Artículo - Versión aceptada |
Editor:
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Springer Verlag
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