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dc.contributor.authorGarcía Planas, María Isabel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2013-11-26T08:46:51Z
dc.date.available2013-11-26T08:46:51Z
dc.date.created2013
dc.date.issued2013
dc.identifier.citationGarcia-Planas, M.I. Miniversal deformations of bilinear systems. "Cybernetics and physics", 2013, vol. 2, núm. 2, p. 84-89.
dc.identifier.issn2226-4116
dc.identifier.urihttp://hdl.handle.net/2117/20770
dc.description.abstractBilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coeffi- cients of the matrices defining a bilinear equation in C n . For this goal we will use the Arnold’s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injec- tion equivalent bilinear systems. Versal deformations provide a special parametrization of bilinear systems space, which can be applied to perturbation analysis and investigation of complicated objects like singular- ities and bifurcations in multi-parameter bilinear sys- tems
dc.format.extent6 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleMiniversal deformations of bilinear systems
dc.typeArticle
dc.subject.lemacMatrius (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.relation.publisherversionhttp://cap.physcon.ru/
dc.rights.accessOpen Access
local.identifier.drac12907219
dc.description.versionPostprint (published version)
local.citation.authorGarcia-Planas, M.I.
local.citation.publicationNameCybernetics and physics
local.citation.volume2
local.citation.number2
local.citation.startingPage84
local.citation.endingPage89


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