Geometry of an elliptic difference equation related to Q4

DOI10.1112/jlms/jdw020zbMath1350.33039arXiv1506.04457OpenAlexW3104623519MaRDI QIDQ3188355

Nobutaka Nakazono, P. Howes, Nalini Joshi, James R. Atkinson

Publication date: 19 August 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04457

zbMATH Keywords

nonlinear difference equationsymmetry groupinitial value spaceSakai's classificationautonomous reductionlattice-geometryPainlevé type system

Mathematics Subject Classification ID

Difference operators (39A70) Elliptic functions and integrals (33E05) Painlevé-type functions (33E17) Partial difference equations (39A14) Periodic solutions of difference equations (39A23)

Related Items (5)

Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations ⋮ Two variations on ( A ₃ × A ₁ × A ₁ ) ⁽¹⁾ type discrete Painlevé equations ⋮ Full-parameter discrete Painlevé systems from non-translational Cremona isometries ⋮ Re-factorising a QRT map ⋮ Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice

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