Fractal Newton basins
<p>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 i...
| Format: | Article |
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| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/28756 |
| Summary: | <p>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.</p> |
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| ISSN: | 1026-0226 |