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| Pàgina inicial > Articles > Articles publicats > On 2- and 3-periodic Lyness difference equations |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)| Títol variant: | On two and three periodic Lyness difference equations |
| Data: | 2012 |
| Resum: | We describe the sequences {xn}n given by the non-autonomous second order Lyness difference equations xn+2 = (an + xn+1)/xn, where {an}n is either a 2-periodic or a 3-periodic sequence of positive values and the initial conditions x1, x2 are as well positive. We also show an interesting phenomenon of the discrete dynamical systems associated to some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behavior does not appear for the autonomous Lyness difference equations. |
| Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 |
| Nota: | El títol de la versió pre-print de l'article és: On two and three periodic Lyness difference equations |
| Nota: | Agraïments: GSD-UAB and CoDALab Groups are supported by the Government of Catalonia through the SGR program. They are also supported by through grants (first and second authors) and DPI2008-06699-C02-02 (third author). |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Difference equations with periodic coefficients ; Circle maps ; Rotation number |
| Publicat a: | Journal of Difference Equations and Applications, Vol. 18 Núm. 5 (2012) , p. 849-864, ISSN 1563-5120 |
19 p, 440.8 KB |
