Integrability and algebraic entropy of \(k\)-periodic non-autonomous Lyness recurrences

DOI10.1016/j.jmaa.2013.11.001zbMath1348.37102OpenAlexW1969583165MaRDI QIDQ2019212

Sundus Zafar, Anna Cima

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.001

zbMATH Keywords

integrabilityalgebraic entropyrecurrencesLyness equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Entropy in general topology (54C70) Additive difference equations (39A10) Rational and birational maps (14E05) Numerical aspects of recurrence relations (65Q30)

Related Items (5)

Zero entropy for some birational maps of \(\mathbb{C}^2\) ⋮ Periodic Orbits of Planar Integrable Birational Maps ⋮ Non-integrability of measure preserving maps via Lie symmetries ⋮ Dynamical classification of a family of birational maps of \(\mathbb{C}^2\) via algebraic entropy ⋮ Global dynamics of the real secant method

Cites Work

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• Generalized QRT mappings with periodic coefficients
• Dynamics of birational maps of P^2
• Invariants for some rational recursive sequences with periodic coefficients
• On Quispel-Roberts-Thompson extensions and integrable correspondences
• STABILITY OF THE kTH ORDER LYNESS' EQUATION WITH A PERIOD-k COEFFICIENT
• Integrability and non-integrability of periodic non-autonomous Lyness recurrences

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