On 2- and 3-periodic Lyness 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)

Additional title:	On two and three periodic Lyness difference equations
Date:	2012
Abstract:	We describe the sequences {xn}n given by the non-autonomous second order Lyness difference equations xn+2 = (an + xn+1)/xn, where {an}n is either a 2-periodic or a 3-periodic sequence of positive values and the initial conditions x1, x2 are as well positive. We also show an interesting phenomenon of the discrete dynamical systems associated to some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behavior does not appear for the autonomous Lyness difference equations.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437
Note:	El títol de la versió pre-print de l'article és: On two and three periodic Lyness difference equations
Note:	Agraïments: GSD-UAB and CoDALab Groups are supported by the Government of Catalonia through the SGR program. They are also supported by through grants (first and second authors) and DPI2008-06699-C02-02 (third author).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Difference equations with periodic coefficients ; Circle maps ; Rotation number
Published in:	Journal of Difference Equations and Applications, Vol. 18 Núm. 5 (2012) , p. 849-864, ISSN 1563-5120

DOI: 10.1080/10236198.2010.524212

Postprint 19 p, 440.8 KB

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