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dc.contributor.authorPastor, Gerardo-
dc.contributor.authorRomera, Miguel-
dc.contributor.authorÁlvarez Marañón, Gonzalo-
dc.contributor.authorArroyo Guardeño, David-
dc.contributor.authorOrúe, Amalia B.-
dc.contributor.authorFernández Mármol, Verónica-
dc.contributor.authorMontoya Vitini, Fausto-
dc.date.accessioned2008-11-27T16:28:03Z-
dc.date.available2008-11-27T16:28:03Z-
dc.date.issued2008-06-
dc.identifier.citationFractals 16(2): 159-168 (2008)en_US
dc.identifier.issn0218-348X-
dc.identifier.urihttp://hdl.handle.net/10261/8869-
dc.description10 pages, 4 figures.en_US
dc.description.abstractMisiurewicz points are essential points of the Mandelbrot set. External arguments are the most useful tool in order to analyze these points; therefore, it is important to go deeper in the study of the external arguments' calculation of these points. In this paper we introduce an algorithm to calculate the external arguments of the branch points, or nodes, of a shrub, since such nodes are the most outstanding Misiurewicz points of the chaotic region of the Mandelbrot set. Devaney and Moreno-Rocha had already presented a paper where they calculated the external arguments of one of these Misiurewicz points, the main node of a shrub. Our algorithm widens the study of Devaney and Moreno-Rocha because it allows one to calculate the external arguments of any node of the shrub.en_US
dc.description.sponsorshipThis work was partially supported by: (a) MEC of Spain, research grant TSI 2007-62657; (b) CDTI, MITYC of Spain, SAC, Project Hesperia; (c) CDTI, MITYC of Spain, Telefonica I+D Project Segur@.en_US
dc.format.extent191554 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoengen_US
dc.publisherWorld Scientific Publishingen_US
dc.rightsclosedAccessen_US
dc.subjectExternal argumentsen_US
dc.subjectBinary expansionsen_US
dc.subjectNodesen_US
dc.subjectMandelbrot seten_US
dc.subjectShruben_US
dc.subjectMisiurewicz pointsen_US
dc.subjectNonlinear scienceen_US
dc.titleAlgorithm for external argument calculation of the nodes of a shrub in the Mandelbrot seten_US
dc.typeArtículoen_US
dc.identifier.doi10.1142/S0218348X08003855-
dc.description.peerreviewedPeer revieweden_US
dc.relation.publisherversionhttp://dx.doi.org/10.1142/S0218348X08003855en_US
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