On the Set of Periods of the 2-Periodic Lyness’ Equation

DOI10.1007/978-3-662-52927-0_22zbMath1355.39019OpenAlexW577097669MaRDI QIDQ2954220

Víctor Mañosa, Marc Rogalski, Guy Bastien

Publication date: 12 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221036

zbMATH Keywords

periodic solutionsperiodic orbitselliptic curvesrotation numberminimal periodQRT mapsdifference equations with periodic coefficientsLyness' type equationsperiodic Lyness' recurrence

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23)

Cites Work

• On the algebraic difference equations \(u_{n+2}+u_{n}=\psi (u_{n+1})\) in \(\mathbb R\), related to a family of elliptic quartics in the plane
• Integrable mappings and soliton equations
• Integrable mappings and soliton equations. II
• On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
• ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS
• On 2- and 3-periodic Lyness difference equations
• An algebraic geometric approach to integrable maps of the plane
• The Arithmetic of Elliptic Curves
• Global Behavior of the Solutions of Lyness' Difference Equation
• Invariants for some rational recursive sequences with periodic coefficients
• STABILITY OF THE kTH ORDER LYNESS' EQUATION WITH A PERIOD-k COEFFICIENT
• Integrability and non-integrability of periodic non-autonomous Lyness recurrences
• Dynamics of the third order Lyness' difference equation
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