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http://hdl.handle.net/2445/63103
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DC Field | Value | Language |
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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.accessioned | 2015-02-18T11:56:22Z | - |
dc.date.issued | 2014-09-15 | - |
dc.identifier.issn | 0214-1493 | - |
dc.identifier.uri | http://hdl.handle.net/2445/63103 | - |
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<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 $c\in\mathbb{R}$ | - |
dc.format.extent | 29 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Universitat Autònoma de Barcelona | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.5565/PUBLMAT_Extra14_05 | - |
dc.relation.ispartof | Publicacions Matemàtiques, 2014, vol. Extra, p. 81-109 | - |
dc.relation.uri | http://dx.doi.org/10.5565/PUBLMAT_Extra14_05 | - |
dc.rights | (c) Universitat Autònoma de Barcelona, 2014 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Sistemes dinàmics diferenciables | - |
dc.subject.classification | Dinàmica topològica | - |
dc.subject.other | Differentiable dynamical systems | - |
dc.subject.other | 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.identifier.idgrec | 636579 | - |
dc.date.updated | 2015-02-18T11:56:22Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
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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