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dc.contributor.authorLlorens, Mireia
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2015-10-26T09:37:01Z
dc.date.available2017-07-04T00:30:38Z
dc.date.issued2015-12-01
dc.identifier.citationLlorens, M., Mañosa, V. Lie symmetries of birational maps preserving genus 0 fibrations. "Journal of mathematical analysis and applications", 01 Desembre 2015, vol. 432, núm. 1, p. 531-549.
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/2117/78216
dc.description.abstractWe prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. Using this approach, the dynamics of several maps is described. In particular we are able to give, for particular examples, the explicit expression of the rotation number function, and the set of periods of the considered maps.
dc.format.extent19 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcshDifferentiable dynamical systems
dc.subject.lcshFoliations (Mathematics)
dc.subject.otherIntegrable maps
dc.subject.otherLie symmetries
dc.subject.otherperiodic orbits
dc.subject.otherrational parameterizations.
dc.titleLie symmetries of birational maps preserving genus 0 fibrations
dc.typeArticle
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.lemacFoliacions (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.identifier.doi10.1016/j.jmaa.2015.06.069
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.subject.amsClassificació AMS::39 Difference and functional equations::39A Difference equations
dc.rights.accessOpen Access
local.identifier.drac16836783
dc.description.versionPostprint (author’s final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/AGAUR/PRI2010-2013/2014SGR859
dc.relation.projectidinfo:eu-repo/grantAgreement/MICINN//DPI2011-25822/ES/ANALISIS E IDENTIFICACION DE SISTEMAS CON HISTERESIS USANDO ORBITAS PERIODICAS./
local.citation.authorLlorens, M.; Mañosa, V.
local.citation.publicationNameJournal of mathematical analysis and applications
local.citation.volume432
local.citation.number1
local.citation.startingPage531
local.citation.endingPage549


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