Newton's method on bring-Jerrard polynomials

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RECERCAT Home > Universitat de Barcelona > Matemàtiques i Informàtica > Articles publicats en revistes (Matemàtiques i Informàtica) > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2445/63103

dc.contributor	Universitat de Barcelona
dc.contributor.author	Campos, Beatriz
dc.contributor.author	Garijo Real, Antonio
dc.contributor.author	Jarque i Ribera, Xavier
dc.contributor.author	Vindel, Pura
dc.date	2015-02-18T11:56:22Z
dc.date	2014-09-15
dc.date	2015-02-18T11:56:22Z
dc.identifier.citation	0214-1493
dc.identifier.citation	636579
dc.identifier.uri	http://hdl.handle.net/2445/63103
dc.format	29 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Universitat Autònoma de Barcelona
dc.relation	Reproducció del document publicat a: http://dx.doi.org/10.5565/PUBLMAT_Extra14_05
dc.relation	Publicacions Matemàtiques, 2014, vol. Extra, p. 81-109
dc.relation	http://dx.doi.org/10.5565/PUBLMAT_Extra14_05
dc.rights	(c) Universitat Autònoma de Barcelona, 2014
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Dinàmica topològica
dc.subject	Differentiable dynamical systems
dc.subject	Topological dynamics
dc.title	Newton's method on bring-Jerrard polynomials
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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 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 $c\in\mathbb{R}$

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