Title:
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Newton's method on bring-Jerrard polynomials
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Author:
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Campos, Beatriz; Garijo Real, Antonio; Jarque i Ribera, Xavier; Vindel, Pura
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Other authors:
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Universitat de Barcelona |
Abstract:
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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 Jerrard polynomials given by $P_{n}(z)=z^{n}-cz +1, c \in \mathbb{C}$. For $n=5$ using the Tschirnhaus Bring 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 $c\in\mathbb{R}$ |
Subject(s):
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-Sistemes dinàmics diferenciables -Dinàmica topològica -Differentiable dynamical systems -Topological dynamics |
Rights:
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(c) Universitat Autònoma de Barcelona, 2014
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Document type:
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Article Article - Published version |
Published by:
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Universitat Autònoma de Barcelona
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