Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/8872
Share/Export:
logo share SHARE logo core CORE BASE
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE
Title

Equivalence between subshrubs and chaotic bands in the Mandelbrot set

AuthorsPastor, Gerardo; Romera, Miguel; Álvarez Marañón, Gonzalo; Arroyo Guardeño, David CSIC ORCID ; Montoya Vitini, Fausto
KeywordsMandelbrot set
Chaotic bands
Subshrubs
Transformation rules
One-dimensional route
Nonlinear science
Issue Date13-Mar-2006
PublisherHindawi Publishing Corporation
CitationDiscrete Dynamics in Nature and Society 2006: 70471 (2006)
AbstractWe study in depth the equivalence between subshrubs and chaotic bands in the Mandelbrot set. In order to do so, we introduce the rules for chaotic bands and the rules for subshrubs, as well as the transformation rules that allow us to interchange them. From all the denominations of a chaotic band, we show the canonical form; that is, the one associated to the hyperbolic component that generates such a chaotic band. Starting from the study of the one-dimensional route, we fulfil an inductive study that gives a generalization of the shrub concept.
Description25 pages, 7 figures.-- This is an open access article distributed under the Creative Commons Attribution License.
Publisher version (URL)http://dx.doi.org/10.1155/DDNS/2006/70471
URIhttp://hdl.handle.net/10261/8872
DOI10.1155/DDNS/2006/70471
ISSN1026-0226
Appears in Collections:(IFA) Artículos




Files in This Item:
File Description SizeFormat
Pastor06.pdf778,74 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work

SCOPUSTM   
Citations

6
checked on Jun 26, 2022

WEB OF SCIENCETM
Citations

5
checked on Jul 1, 2022

Page view(s)

369
checked on Jul 3, 2022

Download(s)

201
checked on Jul 3, 2022

Google ScholarTM

Check

Altmetric

Dimensions


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.