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Morphisms and inverse problems
dc.contributor.author | Christopher, Colin |
dc.contributor.author | Llibre Saló, Jaume |
dc.contributor.author | Pantazi, Chara |
dc.contributor.author | Walcher, Sebastian |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2012-06-28T11:00:27Z |
dc.date.available | 2012-06-28T11:00:27Z |
dc.date.created | 2011-11-03 |
dc.date.issued | 2011-11-03 |
dc.identifier.citation | Christopher, C. [et al.]. "Morphisms and inverse problems". 2011. |
dc.identifier.uri | http://hdl.handle.net/2117/16157 |
dc.description.abstract | In order to investigate polynomial vector ¯elds admitting a prescribed Darboux integrating factor, we show that it is helpful to employ morphisms of the a±ne plane. In particular, such morphisms may be used to remove degeneracies of the underlying curve. Our main result states that the space of vector ¯elds admitting a prescribed Darboux integrating factor modulo a well understood subspace has ¯nite dimension. This extends earlier work for the case of nondegenerate geometric setting. In addition, we present a number of explicit examples with degenerate underlying curve. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis |
dc.subject.lcsh | Algebraic fields |
dc.title | Morphisms and inverse problems |
dc.type | External research report |
dc.subject.lemac | Cossos algebraics |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34A General theory |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
dc.rights.access | Open Access |
local.identifier.drac | 9470413 |
dc.description.version | Preprint |
local.citation.author | Christopher, C.; Llibre, J.; Pantazi, C.; Walcher, S. |
local.citation.publicationName | Morphisms and inverse problems |
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