An effective algorithm to compute Mandelbrot sets in parameter planes.

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dc.contributor.authorGarijo Real, Antonio
dc.contributor.authorJarque i Ribera, Xavier
dc.contributor.authorVilladelprat, Jordi
dc.date.accessioned2018-09-28T08:32:21Z
dc.date.available2018-09-28T08:32:21Z
dc.date.issued2017-01-01
dc.date.updated2018-09-28T08:32:21Z
dc.description.abstractMcMullen 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.
dc.format.extent17 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec670252
dc.identifier.issn1017-1398
dc.identifier.urihttps://hdl.handle.net/2445/124910
dc.language.isoeng
dc.publisherSpringer Verlag
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1007/s11075-017-0270-8
dc.relation.ispartofNumerical Algorithms, 2017, vol. 76, num. 2, p. 555-571
dc.relation.urihttps://doi.org/10.1007/s11075-017-0270-8
dc.rights(c) Springer Verlag, 2017
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes dinàmics complexos
dc.subject.classificationTeoria de la mesura
dc.subject.classificationEquacions funcionals
dc.subject.classificationDesigualtats (Matemàtica)
dc.subject.otherComplex dynamical systems
dc.subject.otherMeasure theory
dc.subject.otherFunctional equations
dc.subject.otherInequalities (Mathematics)
dc.titleAn effective algorithm to compute Mandelbrot sets in parameter planes.
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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