Integrability and non-integrability of periodic non-autonomous Lyness recurrences
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:	2013
Abstract:	This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an +xn+1)/xn, where {an} is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k ∈ {1, 2, 3, 6} the behavior of the sequence {xn} is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some different features.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437
Note:	Agraïments: DPI2008-06699-C02-02 and DPI2011-25822
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Integrability and non-integrability of discrete systems ; Numerical chaos ; Periodic difference equations ; QRT maps ; Rational and meromorphic first integrals
Published in:	Dynamical Systems, Vol. 28 Núm. 4 (2013) , p. 518-538, ISSN 1468-9375

DOI: 10.1080/14689367.2013.821103

Postprint 25 p, 2.4 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles