Integrable non-QRT mappings of the plane

DOI10.1007/s11005-009-0360-1zbMath1187.39008arXiv0906.2815OpenAlexW1518873163MaRDI QIDQ2655352

Nalini Joshi, Pavlos Kassotakis

Publication date: 25 January 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2815

zbMATH Keywords

dynamical systemsintegrationintegrable mappingsintegrable latticesbi-quadratic curvesQRT/non-QRT mappings

Mathematics Subject Classification ID

Related Items (8)

A three-dimensional generalization of QRT maps ⋮ Growth and integrability of some birational maps in dimension three ⋮ Quantum groups, Yang-Baxter maps and quasi-determinants ⋮ Yang-Baxter maps, discrete integrable equations and quantum groups ⋮ Folding Transformations and HKY Mappings ⋮ Generalised Manin transformations and QRT maps ⋮ Re-factorising a QRT map ⋮ 2ⁿ-rational maps

Cites Work

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• Integrable mappings of the plane preserving biquadratic invariant curves II
• Solutions of Adler's Lattice Equation Associated with 2-Cycles of the Bäcklund Transformation
• A study of the antisymmetric QRT mappings
• Multidimensional maps of QRT type
• On the autonomous limit of discrete Painlevé equations

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