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On the geometry of quadratic maps of the plane
dc.contributor.author | Delgado, Jorge |
dc.contributor.author | Garrido Serrano, José Luis |
dc.contributor.author | Romero, Neptalí |
dc.contributor.author | Rovella, Álvaro |
dc.contributor.author | Vilamajó Capdevila, Francesc |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2014-06-03T14:43:06Z |
dc.date.available | 2014-06-03T14:43:06Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Delgado, J. [et al.]. On the geometry of quadratic maps of the plane. "Publicaciones matemáticas del Uruguay", 2013, vol. 14, p. 120-135. |
dc.identifier.issn | 0797-1443 |
dc.identifier.uri | http://hdl.handle.net/2117/23141 |
dc.description.abstract | In this article we give a geometric classification of the set of quadratic maps of the plane. The fundamental step is the proof that the restriction of the map to the critica! set is injective, from which it follows that there are finitely many classes of geometrically equivalent maps. In the last sections we apply this geometric knowledge to obtain some simple dynamical properties of a particular family of quadratic maps. |
dc.format.extent | 16 p. |
dc.language.iso | eng |
dc.publisher | Editorial Board |
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::Geometria::Geometria diferencial |
dc.subject.lcsh | Differentiable dynamical systems. |
dc.title | On the geometry of quadratic maps of the plane |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables -- Congressos |
dc.subject.ams | Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory |
dc.relation.publisherversion | http://imerl.fing.edu.uy/pmu/ |
dc.rights.access | Open Access |
local.identifier.drac | 13058112 |
dc.description.version | Postprint (published version) |
local.citation.author | Delgado, J.; Garrido, J.; Romero, N.; Rovella, Á.; Vilamajo, F. |
local.citation.publicationName | Publicaciones matemáticas del Uruguay |
local.citation.volume | 14 |
local.citation.startingPage | 120 |
local.citation.endingPage | 135 |
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