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| Pàgina inicial > Articles > Articles publicats > Non-autonomous 2-periodic Gumovski-Mira 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)| Data: | 2012 |
| Resum: | We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-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. |
| Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 |
| Nota: | Agraïments: They are also supported by DPI2008-06699-C02-02 (third author). |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Integrable and chaotic difference equations and maps ; Rational difference equations with periodic coefficients ; Perturbed twist maps |
| Publicat a: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 11 (2012) , p. 1250264 (14 pages), ISSN 1793-6551 |
20 p, 446.0 KB |
