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Articles 1 records found  
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27 p, 476.0 KB On periodic solutions of 2-periodic Lyness difference equations / Bastien, Guy (Université Paris. Institut Mathématique de Jussieu) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III) ; Rogalski, Marc (Université de Lille(France). Laboratoire Paul Painlevé)
We study the existence of periodic solutions of the non-autonomous periodic Lyness'recurrence un+2 = (an + un+1)/un, where {an}n is a cycle with positive values a,b and with positive initial conditions. [...]
2013 - 10.1142/S0218127413500715
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 4 (2013) , p. 1350071 (18 pages)  
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Books and collections 1 records found  
1.
14 p, 253.9 KB On the set of periods of the 2-periodic Lyness' equation / Bastien, Guy (Université Pierre et Marie Curie) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Rogalski, Marc (Université des Sciences et Technologies de Lille)
We study the periodic solutions of the non-autonomous periodic Lyness' recurrence u = (a + u )/u, where {a} is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues we give an outline of the proof of the following results: (1) If (a, b) ≠ (1, 1), then there exists a value p(a, b) such that for any p > p(a, b) there exist continua of initial conditions giving rise to 2p-periodic sequences. [...]
Cham, Switzerland: Springer, 2016 (Springer Proceedings in Mathematics & Statistics ; 180) - 10.1007/978-3-662-52927-0_22
IDifference Equations, Discrete Dynamical Systems and Applications, 2016, p. 321-335  
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