Operating with External Arguments of Douady and Hubbard. (30th December 2007)

• Record Type: Journal Article
• Authors: Pastor, G.; Romera, M.; Alvarez, G.; Nunez, J.; Arroyo, D.; Montoya, F.
• Is Part Of: Discrete dynamics in nature and society. Volume 2007(2007)
• Publication Date: 2007-12-30
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2007/45920
• Languages: English
• ISSNs: 1026-0226

Abstract

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.