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Periodic orbits of planar integrable birational maps
dc.contributor.author | Gálvez Carrillo, Maria Immaculada |
dc.contributor.author | Mañosa Fernández, Víctor |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2014-02-25T12:09:41Z |
dc.date.available | 2014-02-25T12:09:41Z |
dc.date.created | 2014-02-14 |
dc.date.issued | 2014-02-14 |
dc.identifier.citation | Galvez, M.; Mañosa, V. "Periodic orbits of planar integrable birational maps". 2014. |
dc.identifier.uri | http://hdl.handle.net/2117/21748 |
dc.description.abstract | A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case, the group structure of the foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure to find periodic orbits of such maps. |
dc.format.extent | 24 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica |
dc.subject.lcsh | Geometry, Algebraic |
dc.subject.other | Discrete dynamical systems |
dc.subject.other | Algebraic geometry |
dc.subject.other | Birational maps |
dc.subject.other | Integrable maps |
dc.subject.other | Elliptic curves |
dc.subject.other | Periodic orbits. |
dc.title | Periodic orbits of planar integrable birational maps |
dc.type | External research report |
dc.subject.lemac | Geometria algebraica |
dc.subject.lemac | Sistemes no lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.contributor.group | Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
dc.subject.ams | Classificació AMS::14 Algebraic geometry |
dc.rights.access | Open Access |
local.identifier.drac | 13041935 |
dc.description.version | Preprint |
local.citation.author | Galvez, M.; Mañosa, V. |
local.citation.publicationName | Periodic orbits of planar integrable birational maps |
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