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Operating with External Arguments of Douady and Hubbard

AuthorsPastor, Gerardo; Romera, Miguel; Álvarez Marañón, Gonzalo; Núñez, J.; Arroyo Guardeño, David ; Montoya Vitini, Fausto
KeywordsMandelbrot set
External arguments
External rays
Theory of Douady and Hubbard
Misiurewicz Points
Issue Date22-Sep-2007
PublisherHindawi Publishing Corporation
CitationDiscrete Dynamics in Nature and Society 2007: 45920 (2007)
AbstractThe external arguments of the external rays theory of Douady and Hubbard is a valuable tool in order to analyze the Mandelbrot set, a typical case of discrete dynamical system used to study nonlinear phenomena. We suggest here a general method for the calculation of the external arguments of external rays landing at the hyperbolic components root points of the Mandelbrot set. Likewise, we present a general method for the calculation of the external arguments of external rays landing at Misiurewicz points.
Description17 pages, 6 figures.-- This is an open access article distributed under the Creative Commons Attribution License.
Publisher version (URL)http://dx.doi.org/10.1155/2007/45920
Appears in Collections:(IFA) Artículos
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