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Numerical range, numerical radii and the dynamics of a rational function

dc.contributor.authorMelo, Helena Sousa
dc.contributor.authorCabral, João
dc.date.accessioned2014-01-03T13:05:28Z
dc.date.available2014-01-03T13:05:28Z
dc.date.issued2010-11
dc.descriptionTexto publicado no seguimento da comunicação apresentada na "Twelfth International Conference on Difference Equations and Application", no Instituto Superior Técnico em Lisboa, 23-27 Julho 2007.por
dc.description.abstractSometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps. In this study we use the family of maps f(x) = (x^2-a)/(x^2-b), making some associations with the matrix A of its coefficients. Calculating the numerical range W(A), the numerical radii r(A) and br(A), the boundary of the numerical range @W(A), powers and iterations, we found relations very interesting, especially with the entropy of this maps.en
dc.identifier.citationMelo, Helena S., Cabral, João (2010). "Numerical range, numerical radii and the dynamics of a rational function". In Elaydi, Saber N. et al. (Eds.), «Discrete Dynamics and Difference Equations» (World Scientific), pp 336-344. http://dx.doi.org/10.1142/9789814287654_0027.por
dc.identifier.isbn978-981-4287-64-7
dc.identifier.isbn978-981-4466-65-3 (ebook)
dc.identifier.urihttp://hdl.handle.net/10400.3/2519
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherWorld Scientific Publishingen
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/9789814287654_0027por
dc.subjectNumerical Rangeen
dc.subjectRational Functionen
dc.titleNumerical range, numerical radii and the dynamics of a rational functionen
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage344por
oaire.citation.startPage336por
oaire.citation.titleDiscrete Dynamics and Difference Equationsen
rcaap.rightsrestrictedAccesspor
rcaap.typebookPartpor

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