An effective algorithm to compute Mandelbrot sets in parameter planes.

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Title:	An effective algorithm to compute Mandelbrot sets in parameter planes.
Author:	Garijo Real, Antonio; Jarque i Ribera, Xavier; Villadelprat, Jordi
Other authors:	Universitat de Barcelona
Abstract:	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.
Subject(s):	-Sistemes dinàmics complexos -Teoria de la mesura -Equacions funcionals -Desigualtats (Matemàtica) -Complex dynamical systems -Measure theory -Functional equations -Inequalities (Mathematics)
Rights:	(c) Springer Verlag, 2017
Document type:	Article Article - Accepted version
Published by:	Springer Verlag
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