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External arguments for the chaotic bands calculation in the Mandelbrot set

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dc.creator Pastor, Gerardo
dc.creator Romera, Miguel
dc.creator Álvarez Marañón, Gonzalo
dc.creator Montoya Vitini, Fausto
dc.date 2008-06-09T17:18:40Z
dc.date 2008-06-09T17:18:40Z
dc.date 2005-03-17
dc.date.accessioned 2017-01-31T01:37:23Z
dc.date.available 2017-01-31T01:37:23Z
dc.identifier Physica A 353: 145-158 (2005)
dc.identifier 0378-4371
dc.identifier http://hdl.handle.net/10261/4927
dc.identifier 10.1016/j.physa.2005.02.025
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4927
dc.description 14 pages, 8 figures.-- PACS nrs.: 05.45.+b, 47.20.Ky.-- Printed version published on Aug 1, 2005.
dc.description In this paper we study the chaotic bands of any Mandelbrot set hyperbolic component. We use external arguments in order to identify the hyperbolic components. If we use harmonics as a tool, we can directly calculate the chaotic bands. Indeed, as we clearly show here, the harmonics of the external arguments of a given hyperbolic component (gene) are the external arguments of the last appearance hyperbolic components of the chaotic bands corresponding to the gene. Likewise, we explain some differences in the chaotic region of cardioids and discs.
dc.description This work was supported by Ministerio de Educación y Ciencia of Spain, research grant SEG2004-02418.
dc.description Peer reviewed
dc.format 22195 bytes
dc.format application/pdf
dc.language eng
dc.publisher Elsevier
dc.relation http://dx.doi.org/10.1016/j.physa.2005.02.025
dc.rights openAccess
dc.subject Mandelbrot set
dc.subject External arguments
dc.subject Chaotic bands
dc.subject Hyperbolic components
dc.title External arguments for the chaotic bands calculation in the Mandelbrot set
dc.type Artículo


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