Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 45920, 17 pages
doi:10.1155/2007/45920
Operating with external arguments of Douady and Hubbard
G. Pastor
, M. Romera
, G. Alvarez
, J. Nunez
, D. Arroyo
and F. Montoya
Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, Spain
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.