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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 Matemàtiques
dc.date.accessioned2017-01-13T09:24:26Z
dc.date.available2017-10-24T00:30:31Z
dc.date.issued2012
dc.identifier.citationBastien, G., Mañosa, V., Rogalski, M. On the set of periods of the 2-periodic Lyness' equation. A: International Conference on Difference Equations and Applications. "Difference Equations, Discrete Dynamical Systems and Applications - ICDEA 2012". Barcelona: 2012, p. 321-335.
dc.identifier.isbn9783662529263
dc.identifier.urihttp://hdl.handle.net/2117/99190
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-52927-0_22
dc.description.abstractWe study the periodic solutions of the non-autonomous periodic Lyness’ recurrence un+2=(an+un+1)/un, where {an}n is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues we give an outline of the proof of the following results: (1) If (a,b)¿(1,1), then there exists a value p0(a,b) such that for any p>p0(a,b) there exist continua of initial conditions giving rise to 2p-periodic sequences. (2) The set of minimal periods arising when (a,b)¿(0,8)2 and positive initial conditions are considered, contains all the even numbers except 4, 6, 8, 12 and 20. If a¿b, then it does not appear any odd period, except 1.
dc.format.extent15 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
dc.subject.lcshDifference equations
dc.subject.otherPeriodic orbits
dc.subject.otherDifference Equations
dc.subject.otherEllipic curves
dc.subject.otherLyness equations.
dc.titleOn the set of periods of the 2-periodic Lyness' equation
dc.typeConference lecture
dc.subject.lemacEquacions en diferències
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.identifier.doi10.1007/978-3-662-52927-0_22
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::39 Difference and functional equations::39A Difference equations
dc.rights.accessOpen Access
local.identifier.drac19355785
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MICINN//DPI2011-25822/ES/ANALISIS E IDENTIFICACION DE SISTEMAS CON HISTERESIS USANDO ORBITAS PERIODICAS./
dc.relation.projectidinfo:eu-repo/grantAgreement/AGAUR/PRI2005-2008/2009SGR1228
local.citation.authorBastien, G.; Mañosa, V.; Rogalski, M.
local.citation.contributorInternational Conference on Difference Equations and Applications
local.citation.pubplaceBarcelona
local.citation.publicationNameDifference Equations, Discrete Dynamical Systems and Applications - ICDEA 2012
local.citation.startingPage321
local.citation.endingPage335


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