Some invariants for \(k\)th-order Lyness equation.

DOI10.1016/j.aml.2003.07.011zbMath1070.39026OpenAlexW2000619053MaRDI QIDQ1767204

Xianqiang Yang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.07.011

zbMATH Keywords

invariantsLyness equationfunctionally independent invariants

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items (10)

Dichotomy of a perturbed Lyness difference equation ⋮ Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations ⋮ Real dynamics of integrable birational maps ⋮ A note on globally periodic maps and integrability ⋮ Linear fractional recurrences: periodicities and integrability ⋮ Integrability and non-integrability of periodic non-autonomous Lyness recurrences ⋮ A general method for studying quadratic perturbations of the third-order Lyness difference equation ⋮ Studying discrete dynamical systems through differential equations ⋮ Dynamics of the third order Lyness' difference equation ⋮ Global periodicity and complete integrability of discrete dynamical systems

Cites Work

• Unnamed Item
• Properties of a certain Lyness equation
• Invariants and related Liapunov functions for difference equations
• How to find the conserved quantities of nonlinear discrete equations
• A note on unbounded solutions of a class of second order rational difference equations

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