Operating with external arguments in the Mandelbrot set antenna

20 pages, 7 figures.-- PACS nrs.: 05.45.Ac; 47.20.Ky.-- Printed version published on Oct 2002.

Detalles Bibliográficos
Autores: Pastor, Gerardo, Romera, Miguel, Álvarez Marañón, Gonzalo, Montoya Vitini, Fausto
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/8916
Acceso en línea:http://hdl.handle.net/10261/8916
Access Level:acceso abierto
Palabra clave:Mandelbrot set antenna
External arguments
External rays
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spelling Operating with external arguments in the Mandelbrot set antennaPastor, GerardoRomera, MiguelÁlvarez Marañón, GonzaloMontoya Vitini, FaustoMandelbrot set antennaExternal argumentsExternal rays20 pages, 7 figures.-- PACS nrs.: 05.45.Ac; 47.20.Ky.-- Printed version published on Oct 2002.The external argument theory of Douady and Hubbard allows us to know both the potential and the field-lines in the exterior of the Mandelbrot set. Nonetheless, there are no explicit formulae to operate with external arguments, and the external argument theory is difficult to apply. In this paper we introduce some tools in order to obtain formulae to operate with external arguments in the Mandelbrot set antenna. Thus, we introduce the harmonic tool to calculate both the external arguments of the period-doubling cascade hyperbolic components and the external arguments of the last appearance hyperbolic components. Likewise, we introduce composition rules applied to external arguments that, with the aid of the concept of heredity, allows the calculation of all the external arguments that constitutes the family tree of a given external argument.This work was supported by Ministerio de Ciencia y Tecnología of Spain, research grant TIC2001-0586.Peer reviewedElsevier200820082002info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501474375 bytesapplication/pdfhttp://hdl.handle.net/10261/8916reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://dx.doi.org/10.1016/S0167-2789(02)00539-0info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/89162026-05-22T06:33:51Z
dc.title.none.fl_str_mv Operating with external arguments in the Mandelbrot set antenna
title Operating with external arguments in the Mandelbrot set antenna
spellingShingle Operating with external arguments in the Mandelbrot set antenna
Pastor, Gerardo
Mandelbrot set antenna
External arguments
External rays
title_short Operating with external arguments in the Mandelbrot set antenna
title_full Operating with external arguments in the Mandelbrot set antenna
title_fullStr Operating with external arguments in the Mandelbrot set antenna
title_full_unstemmed Operating with external arguments in the Mandelbrot set antenna
title_sort Operating with external arguments in the Mandelbrot set antenna
dc.creator.none.fl_str_mv Pastor, Gerardo
Romera, Miguel
Álvarez Marañón, Gonzalo
Montoya Vitini, Fausto
author Pastor, Gerardo
author_facet Pastor, Gerardo
Romera, Miguel
Álvarez Marañón, Gonzalo
Montoya Vitini, Fausto
author_role author
author2 Romera, Miguel
Álvarez Marañón, Gonzalo
Montoya Vitini, Fausto
author2_role author
author
author
dc.subject.none.fl_str_mv Mandelbrot set antenna
External arguments
External rays
topic Mandelbrot set antenna
External arguments
External rays
description 20 pages, 7 figures.-- PACS nrs.: 05.45.Ac; 47.20.Ky.-- Printed version published on Oct 2002.
publishDate 2002
dc.date.none.fl_str_mv 2002
2008
2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
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dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/8916
url http://hdl.handle.net/10261/8916
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://dx.doi.org/10.1016/S0167-2789(02)00539-0
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 474375 bytes
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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