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dc.contributor.authorCima Mollet, Anna
dc.contributor.authorGasull Embid, Armengol
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2012-05-30T14:50:00Z
dc.date.available2012-05-30T14:50:00Z
dc.date.created2012-05-04
dc.date.issued2012-05-04
dc.identifier.citationCima, A.; Gasull, A.; Mañosa, V. "Global periodicity conditions for maps and recurrences via Normal Forms". 2012.
dc.identifier.urihttp://hdl.handle.net/2117/15947
dc.description.abstractWe face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two and three dimensional classes of polynomial or rational maps. In particular we find the global periodic cases for several Lyness type recurrences
dc.format.extent25 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:1205.0923v1 [math.DS]
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcshDifferential equations
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherPeriodic maps
dc.subject.otherLinearization
dc.subject.otherNormal Forms
dc.subject.otherRational parametrizations
dc.subject.otherGlobally periodic recurrences
dc.subject.otherLyness recurrences
dc.titleGlobal periodicity conditions for maps and recurrences via Normal Forms
dc.typeOther
dc.subject.lemacEquacions diferencials
dc.subject.lemacSistemes dinàmics diferenciables
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.subject.amsClassificació AMS::39 Difference and functional equations::39A Difference equations
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.relation.publisherversionhttp://arxiv.org/abs/1205.0923
dc.rights.accessOpen Access
local.identifier.drac10364401
dc.description.versionPreprint
local.citation.authorCima, A.; Gasull, A.; Mañosa, V.
local.citation.publicationNameGlobal periodicity conditions for maps and recurrences via Normal Forms


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