dc.contributor.author |
Campos, Beatriz |
dc.contributor.author |
Garijo, Antoni |
dc.contributor.author |
Jarque i Ribera, Xavier |
dc.contributor.author |
Vindel, Pura |
dc.date |
2014 |
dc.identifier |
https://ddd.uab.cat/record/150688 |
dc.identifier |
urn:10.5565/PUBLMAT_Extra14_05 |
dc.identifier |
urn:oai:ddd.uab.cat:150688 |
dc.identifier |
urn:gsduab:3720 |
dc.identifier |
urn:oai:raco.cat:article/287202 |
dc.identifier |
urn:scopus_id:84989888654 |
dc.identifier |
urn:altmetric_id:3708951 |
dc.identifier |
urn:articleid:20144350vExtrap81 |
dc.format |
application/pdf |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Ciencia e Innovación MTM2011-28636-C02-02 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792 |
dc.relation |
Ministerio de Ciencia e Innovación MTM2011-26995-C02-02 |
dc.relation |
Publicacions matemàtiques ; Vol. Extra (2014), p. 81-109 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Holomorphic dynamics |
dc.subject |
Julia and Fatou sets |
dc.subject |
Hyperbolic components |
dc.subject |
Bifurcation locus |
dc.subject |
Newton's method |
dc.title |
Newton's method on Bring-Jerrard polynomials |
dc.type |
Article |
dc.description.abstract |
Agraïments: The first and fourth authors were partially supported by P11B2011-30 |
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-th degree Bring-Jerrard polynomials given by P_n(z) = z^n-cz 1, \ 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 . |