Non-autonomous 2-periodic Gumovski-Mira difference equations

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Title:	Non-autonomous 2-periodic Gumovski-Mira difference equations
Author:	Cimà, Anna; Gasull, Armengol; Mañosa Fernández, Víctor
Abstract:	Agraïments: They are also supported by DPI2008-06699-C02-02 (third author).
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.
Subject(s):	-Integrable and chaotic difference equations and maps -Rational difference equations with periodic coefficients -Perturbed twist maps
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150532