Non autonomous 2-periodic Gumovski-Mira difference equations

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Título:	Non autonomous 2-periodic Gumovski-Mira difference equations
Autor/a:	Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
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 di er 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.
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals -Differential equations -Integrable and chaotic difference equations and maps -Rational difference equations with periodic coefficients -Perturbed twist maps -Equacions diferencials -Classificació AMS::39 Difference and functional equations::39A Difference equations
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Tipo de documento:	Artículo - Borrador Informe
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