On 2- and 3-periodic Lyness difference equations

DOI10.1080/10236198.2010.524212zbMath1248.39008arXiv0912.5031OpenAlexW2002501974MaRDI QIDQ2895651

Anna Cima, Víctor Mañosa, Armengol Gasull

Publication date: 4 July 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5031

zbMATH Keywords

oscillationperiodic solutionrotation numberperiodic coefficientscircle mapsrational difference equationLyness equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Oscillation theory for difference equations (39A21)

Related Items

Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations ⋮ Zero entropy for some birational maps of \(\mathbb{C}^2\) ⋮ On the Set of Periods of the 2-Periodic Lyness’ Equation ⋮ Integrability and non-integrability of periodic non-autonomous Lyness recurrences ⋮ NONAUTONOMOUS TWO-PERIODIC GUMOVSKI–MIRA DIFFERENCE EQUATIONS ⋮ A BIQUADRATIC SYSTEM OF TWO ORDER ONE DIFFERENCE EQUATIONS: PERIODS, CHAOTIC BEHAVIOR OF THE ASSOCIATED DYNAMICAL SYSTEM ⋮ A general method for studying quadratic perturbations of the third-order Lyness difference equation ⋮ Integrability and algebraic entropy of \(k\)-periodic non-autonomous Lyness recurrences ⋮ Dynamical classification of a family of birational maps of \(\mathbb{C}^2\) via algebraic entropy ⋮ ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS

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