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http://hdl.handle.net/2445/63103
Title: | Newton's method on bring-Jerrard polynomials |
Author: | Campos, Beatriz Garijo Real, Antonio Jarque i Ribera, Xavier Vindel, Pura |
Keywords: | Sistemes dinàmics diferenciables Dinàmica topològica Differentiable dynamical systems Topological dynamics |
Issue Date: | 15-Sep-2014 |
Publisher: | Universitat Autònoma de Barcelona |
Abstract: | In this paper we study the topology of the hyperbolic component of the parameter plane for the Newton's method applied to n-degree Bring<br>Jerrard polynomials given by $P_{n}(z)=z^{n}-cz +1, c \in \mathbb{C}$. For $n=5$ using the Tschirnhaus<br>Bring<br>Jerrard nonlinear transformations, this family controls, at least theoretically, the roots of all quintic polynomials. We also study a bifurcation cascade of the bifurcation locus by considering $c\in\mathbb{R}$ |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.5565/PUBLMAT_Extra14_05 |
It is part of: | Publicacions Matemàtiques, 2014, vol. Extra, p. 81-109 |
URI: | http://hdl.handle.net/2445/63103 |
Related resource: | http://dx.doi.org/10.5565/PUBLMAT_Extra14_05 |
ISSN: | 0214-1493 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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636579.pdf | 3.06 MB | Adobe PDF | View/Open |
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