On 2- and 3-periodic Lyness difference equations

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.contributor.author	Cima Mollet, Anna
dc.contributor.author	Gasull Embid, Armengol
dc.contributor.author	Mañosa Fernández, Víctor
dc.date	2011-06-09
dc.identifier.citation	Cima, A.; Gasull, A.; Mañosa, V. On 2- and 3-periodic Lyness difference equations. "Journal of difference equations and applications", 2012, vol. 18, núm. 5, p. 849-864.
dc.identifier.citation	1023-6198
dc.identifier.citation	10.1080/10236198.2010.524212
dc.identifier.uri	http://hdl.handle.net/2117/13175
dc.language.iso	eng
dc.relation	http://www.tandfonline.com/doi/pdf/10.1080/10236198.2010.524212
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en diferències
dc.subject	Difference equations
dc.subject	Difference equations with periodic coefficients
dc.subject	Circle maps
dc.subject	Rotation number
dc.subject	Equacions en diferències
dc.subject	Classificació AMS::39 Difference and functional equations::39A Difference equations
dc.title	On 2- and 3-periodic Lyness difference equations
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial conditions x1; x2 are also positive. We also show an interesting phenomenon of the discrete dynamical systems associated with some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behaviour does not appear for the autonomous Lyness difference equations
dc.description.abstract	Peer Reviewed
dc.description.abstract	_

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