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Operating with External Arguments of Douady and Hubbard
Author(s) -
G. Pastor,
M. Romera,
Gonzalo Álvarez,
Juaunez,
David Arroyo,
F. Montoya
Publication year - 2007
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2007/45920
Subject(s) - mandelbrot set , nonlinear system , mathematics , set (abstract data type) , hubbard model , julia set , physics , mathematical analysis , computer science , quantum mechanics , fractal , superconductivity , programming language
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

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