Gambier lattices and other linearisable systems

DOI10.1080/14029251.2020.1819620zbMath1441.37084OpenAlexW3083372407MaRDI QIDQ5121143

Alfred Ramani, Basile Grammaticos

Publication date: 10 September 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2020.1819620

zbMATH Keywords

growth propertiessingularity confinementintegrable latticesGambier mapping

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• On non-point invertible transformations of difference and differential-difference equations
• Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations
• The Gambier mapping, revisited
• Integrable lattice equations and their growth properties
• Classification of integrable equations on quad-graphs. The consistency approach
• Dynamics of bimeromorphic maps of surfaces
• On two integrable lattice equations and their interpretation
• On the explicit integration of a class of linearizable mappings
• Deconstructing an integrable lattice equation
• Asymmetric integrable quad-graph equations
• A new two-dimensional lattice model that is  consistent around a cube
• Discrete integrable systems from continuous Painlevé equations through limiting procedures
• Discrete analogues of the Liouville equation

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