Dynamics of Newton method for symmetric quartic polynomial
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/146206
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INVESTIGACIONMetadata
Title
Dynamics of Newton method for symmetric quartic polynomialDate
2017-06-26Publisher
Sociedad Española de Matemática Aplicada (SEMA); Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y EstadísticaISBN
9788494440212Type
info:eu-repo/semantics/conferenceObjectVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
We consider the Newton method on symmetric quartic polynomials. The parameter space is divided into different regions
with different dynamical behaviours. In this paper, we study the dynamics for values of the parameter ... [+]
We consider the Newton method on symmetric quartic polynomials. The parameter space is divided into different regions
with different dynamical behaviours. In this paper, we study the dynamics for values of the parameter on the bifurcations curves
that separate those regions, checking its dynamical behaviour due to the presence of multiple roots. We also consider a modified
Newton method and we prove that this method is always conjugate to the rational map m/n
z2 when it is applied on polynomials
with two roots of multiplicity m and n, respectively. [-]
Description
Comunicación presentada en el XXV Congreso de Ecuaciones Diferenciales y Aplicaciones / XV Congreso de Matemática Aplicada (CEDYA + CMA 2017) celebrado del 26 al 30 de junio de 2017 en Cartagena, España.
Investigation project
Spanish project MTM2014-52016-C02-2-P ; Generalitat Valenciana (Project PROMETEO/2016/089) ; Universitat Jaume I (project P1.1B20115- 16) ; Spanish grant MTM2014-52209-C2-2-P ; Generalitat of Catalonia (2014 SGR555)Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess