Operating with External Arguments of Douady and Hubbard

G. Pastor, M. Romera, G. Alvarez, J. Nunez, D. Arroyo and F. Montoya

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-17

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:045920

DOI: 10.1155/2007/45920

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