Operating with External Arguments of Douady and Hubbard
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 externa...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/45920 |
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| _version_ | 1832555997335388160 |
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| author | G. Pastor M. Romera G. Alvarez J. Nunez D. Arroyo F. Montoya |
| author_facet | G. Pastor M. Romera G. Alvarez J. Nunez D. Arroyo F. Montoya |
| author_sort | G. Pastor |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-78bee7a43a5e4a3db198d8abaa492138 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-78bee7a43a5e4a3db198d8abaa4921382025-02-03T05:46:38ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/4592045920Operating with External Arguments of Douady and HubbardG. Pastor0M. Romera1G. Alvarez2J. Nunez3D. Arroyo4F. Montoya5Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainInstituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainInstituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainInstituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainInstituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainInstituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Serrano 144, Madrid 28006, SpainThe 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.http://dx.doi.org/10.1155/2007/45920 |
| spellingShingle | G. Pastor M. Romera G. Alvarez J. Nunez D. Arroyo F. Montoya Operating with External Arguments of Douady and Hubbard Discrete Dynamics in Nature and Society |
| title | Operating with External Arguments of Douady and Hubbard |
| title_full | Operating with External Arguments of Douady and Hubbard |
| title_fullStr | Operating with External Arguments of Douady and Hubbard |
| title_full_unstemmed | Operating with External Arguments of Douady and Hubbard |
| title_short | Operating with External Arguments of Douady and Hubbard |
| title_sort | operating with external arguments of douady and hubbard |
| url | http://dx.doi.org/10.1155/2007/45920 |
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