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Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)
dc.contributor.author | Cima Mollet, Anna |
dc.contributor.author | Gasull Embid, Armengol |
dc.contributor.author | Mañosa Fernández, Víctor |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2011-12-29T09:24:44Z |
dc.date.available | 2011-12-29T09:24:44Z |
dc.date.created | 2011-12-22 |
dc.date.issued | 2011-12-22 |
dc.identifier.citation | Cima, A.; Gasull, A.; Mañosa, V. "Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)". 2011. |
dc.identifier.uri | http://hdl.handle.net/2117/14345 |
dc.description | Preprint. Versió revisada i augmentada d'un anterior report homònim. |
dc.description.abstract | This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the behavior of the sequence fxng is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some di erent features. |
dc.format.extent | 25 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | arXiv:1012.4925v2 |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
dc.subject.lcsh | Differential equations |
dc.subject.lcsh | Differentiable dynamical systems |
dc.subject.other | Integrability and non-integrability of discrete systems |
dc.subject.other | Numerical chaos |
dc.subject.other | Periodic difference equations |
dc.subject.other | QRT maps |
dc.subject.other | Rational and meromorphic first integrals |
dc.title | Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version) |
dc.type | Other |
dc.subject.lemac | Equacions diferencials |
dc.subject.lemac | Sistemes dinàmics diferenciables |
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.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory |
dc.relation.publisherversion | http://arxiv.org/abs/1012.4925 |
dc.rights.access | Open Access |
local.identifier.drac | 8834095 |
dc.description.version | Preprint |
local.citation.author | Cima, A.; Gasull, A.; Mañosa, V. |
local.citation.publicationName | Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version) |