Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 45920, 17 pages
doi:10.1155/2007/45920
Research Article
Operating with External Arguments of Douady and Hubbard
Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, Spain
Received 22 May 2007; Accepted 22 September 2007
Copyright © 2007 G. Pastor et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The 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.