Mostra el registre d'ítem simple
Integrability and non-integrability of periodic non-autonomous Lyness recurrences
| 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 | 2010-12-28T08:59:34Z |
| dc.date.available | 2010-12-28T08:59:34Z |
| dc.date.issued | 2010-12-22 |
| dc.identifier.uri | http://hdl.handle.net/2117/10770 |
| dc.description | Preprint arXiv:1012.4925 |
| dc.description.abstract | This paper studies non-autonomous Lyness type recurrences of the form x_{n+2}=(a_n+x_n)/x_{n+1}, where a_n is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k in {1,2,3,6} the behavior of the sequence x_n is simple(integrable) while for the remaining cases satisfying k not a multiple of 5 this behavior can be much more complicated(chaotic). The cases k multiple of 5 are studied separately. |
| dc.format.extent | 23 p. |
| dc.language.iso | eng |
| dc.relation.ispartofseries | arXiv:1012.4925v1 [math.DS] |
| 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 | Periodic difference equations |
| dc.subject.other | Integrability |
| dc.subject.other | Non-integrability |
| dc.subject.other | Meromorphic first integrals |
| dc.subject.other | Chaos |
| dc.title | Integrability and non-integrability of periodic non-autonomous Lyness recurrences |
| 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.relation.publisherversion | http://arxiv.org/abs/1012.4925 |
| dc.rights.access | Open Access |
| local.identifier.drac | 4468281 |
| dc.description.version | Preprint |
| local.personalitzacitacio | true |
