Non-autonomous two periodic Gumovski-Mira difference equations
We consider two types of nonautonomous two-periodic Gumovski–Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simpl...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/17333 |
| Acceso en línea: | https://hdl.handle.net/2117/17333 https://dx.doi.org/10.1142/S0218127412502641 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations Integrable and chaotic difference equations and maps Rational difference equations with periodic coeffcients Perturbed twist maps Equacions diferencials Classificació AMS::39 Difference and functional equations::39A Difference equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
| Sumario: | We consider two types of nonautonomous two-periodic Gumovski–Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence. |
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