English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/8914
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE
Exportar a otros formatos:


Shrubs in the Mandelbrot set ordering

AuthorsRomera, Miguel; Pastor, Gerardo; Álvarez Marañón, Gonzalo; Montoya Vitini, Fausto
KeywordsMandelbrot set
Hyperbolic components
Misiurewicz points
Issue Date2003
PublisherWorld Scientific Publishing
CitationInt. J. Bifurcation and Chaos 13(8): 2279-2300 (2003)
AbstractWe introduce shrubs in this paper in order to present a first approach to studying the structure of the Mandelbrot set. Primary, secondary... and N-ary shrubs are analyzed. We have experimentally obtained formulae to calculate the periods of the hyperbolic component representatives of the structural branches, and the preperiods and periods of both the nodes -where structural branches emanate- and the tips -where the shrub enters in crisis. A generalization allows us to give in each case one formula to calculate representative periods and preperiods and periods of nodes and tips.
Description22 pages, 9 figures.
Publisher version (URL)http://dx.doi.org/10.1142/S0218127403007941
Appears in Collections:(IFA) Artículos
Files in This Item:
File Description SizeFormat 
Romera03.pdf3,03 MBAdobe PDFThumbnail
Show full item record
Review this work

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