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dc.contributor.authorBastien, Guy
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.authorRogalski, Marc
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2012-01-10T08:45:03Z
dc.date.available2012-01-10T08:45:03Z
dc.date.created2012-01-04
dc.date.issued2012-01-04
dc.identifier.citationBastien, G.; Mañosa, V.; Rogalski, M. "On periodic solutions of 2-periodic Lyness difference equations". 2012.
dc.identifier.urihttp://hdl.handle.net/2117/14440
dc.descriptionPreprint
dc.description.abstractWe study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions. It is known that for a=b=1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a,b) different from (1,1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a is not equal to b, then any odd period, except 1, appears.
dc.format.extent27 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:1201.1027v1 [math.DS]
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
dc.subject.lcshDifference equations
dc.subject.otherDifference equations with periodic coefficients
dc.subject.otherElliptic curves
dc.subject.otherLyness' type equations
dc.subject.otherQRT maps
dc.subject.otherRotation number
dc.subject.otherPeriodic orbits
dc.titleOn periodic solutions of 2-periodic Lyness difference equations
dc.typeOther
dc.subject.lemacEquacions en diferències
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.subject.amsClassificació AMS::39 Difference and functional equations::39A Difference equations
dc.relation.publisherversionhttp://arxiv.org/abs/1201.1027
dc.rights.accessOpen Access
drac.iddocument8940413
dc.description.versionPreprint
upcommons.citation.authorBastien, G.; Mañosa, V.; Rogalski, M.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameOn periodic solutions of 2-periodic Lyness difference equations


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