Non-autonomous 2-periodic Gumovski-Mira difference equations
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)

Date:	2012
Abstract:	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.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437
Note:	Agraïments: They are also supported by DPI2008-06699-C02-02 (third author).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Integrable and chaotic difference equations and maps ; Rational difference equations with periodic coefficients ; Perturbed twist maps
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 11 (2012) , p. 1250264 (14 pages), ISSN 1793-6551

DOI: 10.1142/S0218127412502641

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