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On the set of periods of the 2-periodic Lyness' equation
dc.contributor.author | Bastien, Guy |
dc.contributor.author | Mañosa Fernández, Víctor |
dc.contributor.author | Rogalski, Marc |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2017-01-13T09:24:26Z |
dc.date.available | 2017-10-24T00:30:31Z |
dc.date.issued | 2012 |
dc.identifier.citation | Bastien, 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.isbn | 9783662529263 |
dc.identifier.uri | http://hdl.handle.net/2117/99190 |
dc.description | The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-52927-0_22 |
dc.description.abstract | We 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.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències |
dc.subject.lcsh | Difference equations |
dc.subject.other | Periodic orbits |
dc.subject.other | Difference Equations |
dc.subject.other | Ellipic curves |
dc.subject.other | Lyness equations. |
dc.title | On the set of periods of the 2-periodic Lyness' equation |
dc.type | Conference lecture |
dc.subject.lemac | Equacions en diferències |
dc.contributor.group | Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
dc.identifier.doi | 10.1007/978-3-662-52927-0_22 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::39 Difference and functional equations::39A Difference equations |
dc.rights.access | Open Access |
local.identifier.drac | 19355785 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN//DPI2011-25822/ES/ANALISIS E IDENTIFICACION DE SISTEMAS CON HISTERESIS USANDO ORBITAS PERIODICAS./ |
dc.relation.projectid | info:eu-repo/grantAgreement/AGAUR/PRI2005-2008/2009SGR1228 |
local.citation.author | Bastien, G.; Mañosa, V.; Rogalski, M. |
local.citation.contributor | International Conference on Difference Equations and Applications |
local.citation.pubplace | Barcelona |
local.citation.publicationName | Difference Equations, Discrete Dynamical Systems and Applications - ICDEA 2012 |
local.citation.startingPage | 321 |
local.citation.endingPage | 335 |