Fractal Newton basins
The dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton's method is considered since it is the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/28756 |
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| _version_ | 1832559960659066880 |
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| author | M. L. Sahari I. Djellit |
| author_facet | M. L. Sahari I. Djellit |
| author_sort | M. L. Sahari |
| collection | DOAJ |
| description | The dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton's method is considered since it is the main tool for finding solutions to equations, which leads to some fantastic images when it is applied to complex functions and gives rise to a chaotic sequence. |
| format | Article |
| id | doaj-art-37b9a50af84547bc81d0c3f0a76280e1 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-37b9a50af84547bc81d0c3f0a76280e12025-02-03T01:28:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/2875628756Fractal Newton basinsM. L. Sahari0I. Djellit1Centre Universitaire d’El-Tarf, El Tarf 36000, AlgeriaDepartment of Mathematics, University of Annaba, BP 12, Annaba 23000, AlgeriaThe dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton's method is considered since it is the main tool for finding solutions to equations, which leads to some fantastic images when it is applied to complex functions and gives rise to a chaotic sequence.http://dx.doi.org/10.1155/DDNS/2006/28756 |
| spellingShingle | M. L. Sahari I. Djellit Fractal Newton basins Discrete Dynamics in Nature and Society |
| title | Fractal Newton basins |
| title_full | Fractal Newton basins |
| title_fullStr | Fractal Newton basins |
| title_full_unstemmed | Fractal Newton basins |
| title_short | Fractal Newton basins |
| title_sort | fractal newton basins |
| url | http://dx.doi.org/10.1155/DDNS/2006/28756 |
| work_keys_str_mv | AT mlsahari fractalnewtonbasins AT idjellit fractalnewtonbasins |