Integrability and non-integrability of periodic non-autonomous Lyness recurrences

DOI10.1080/14689367.2013.821103zbMath1288.39006arXiv1012.4925OpenAlexW1969756297MaRDI QIDQ5406315

Víctor Mañosa, Anna Cima, Armengol Gasull

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4925

zbMATH Keywords

chaosperiodicityintegrabilityrational difference equationperiodic difference equationsnumerical chaosQRT mapsintegrability and non-integrability of discrete systemsLyness-type recurrencesrational and meromorphic first integrals

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Chaotic behavior of solutions of difference equations (39A33)

Related Items (7)

On 2- and 3-periodic Lyness difference equations ⋮ Periodic Orbits of Planar Integrable Birational Maps ⋮ On the Set of Periods of the 2-Periodic Lyness’ Equation ⋮ A dynamic Parrondo's paradox for continuous seasonal systems ⋮ Non-integrability of measure preserving maps via Lie symmetries ⋮ Integrability and algebraic entropy of \(k\)-periodic non-autonomous Lyness recurrences ⋮ Meromorphic first integrals of analytic diffeomorphisms

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