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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 Matemàtica Aplicada III |
dc.date.accessioned | 2013-09-12T11:54:40Z |
dc.date.available | 2013-09-12T11:54:40Z |
dc.date.created | 2013-07-25 |
dc.date.issued | 2013-07-25 |
dc.identifier.citation | Bastien, G.; Mañosa, V.; Rogalski, M. "On the set of periods of the 2-periodic Lyness’ Equation". 2013. |
dc.identifier.uri | http://hdl.handle.net/2117/20122 |
dc.description | Preprint |
dc.description.abstract | We study the periodic solutions of the non–autonomous periodic Lyness’ recurrence un+2 = (an +un+1)=un, where fangn 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) 6= (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) 2 (0;¥) 2 and positive initial conditions are considered, contains all the even numbers except 4, 6, 8, 12 and 20. If a 6= b, then it does not appear any odd period, except 1. |
dc.format.extent | 14 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 | QRT maps |
dc.subject.other | Integrable systems. |
dc.title | On the set of periods of the 2-periodic Lyness’ Equation |
dc.type | External research report |
dc.subject.lemac | Equacions en diferències |
dc.contributor.group | Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
dc.subject.ams | Classificació AMS::39 Difference and functional equations::39A Difference equations |
dc.rights.access | Open Access |
local.identifier.drac | 12713919 |
dc.description.version | Preprint |
local.citation.author | Bastien, G.; Mañosa, V.; Rogalski, M. |
local.citation.publicationName | On the set of periods of the 2-periodic Lyness’ Equation |
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