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Página principal > Libros y colecciones > Capítulos de libros > On the set of periods of the 2-periodic Lyness' equation |
Publicación: | Cham, Switzerland: Springer, 2016 |
Descripción: | 14 pàg. |
Resumen: | 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. (2) The set of minimal periods arising when (a, b) ∈ (0,∞) and positive initial conditions are considered, contains all the even numbers except 4, 6, 8, 12 and 20. If a ≠ b, then it does not appear any odd period, except 1. |
Ayudas: | Ministerio de Economía y Competitividad DPI2011-25822 Ministerio de Economía y Competitividad DPI2016-77407-P |
Nota: | Publicació amb motiu de la International Conference on Difference Equations and Applications (July 22-27, 2012, Barcelona, Spain) amb el títol Difference Equations, Discrete Dynamical Systems and Applications |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Colección: | Springer Proceedings in Mathematics & Statistics ; 180 |
Documento: | Capítol de llibre ; recerca ; Versió acceptada per publicar |
Materia: | Difference equations with periodic coefficients ; Elliptic curves ; Lyness' type equations ; QRT maps ; Rotation number ; Periodic orbits |
Publicado en: | IDifference Equations, Discrete Dynamical Systems and Applications, 2016, p. 321-335, ISBN 978-3-662-52927-0 |
Postprint 14 p, 253.9 KB |