Discrete Painlevé equations associated with the affine Weyl groupE8

DOI10.1088/1751-8113/48/35/355204zbMath1326.39006OpenAlexW2298539176MaRDI QIDQ3447839

Alfred Ramani, Basile Grammaticos

Publication date: 28 October 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/48/35/355204

zbMATH Keywords

periodicityintegrabilityaffine Weyl groupdiscrete Painlevé equationsQRT mappingsdeautonomization

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Discrete version of topics in analysis (39A12)

Related Items (8)

On a novel representation of discrete Painlevé equations ⋮ Multiplicative equations related to the affine Weyl group E8 ⋮ Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE₈ ⋮ Constructing discrete Painlevé equations: from E8(1) to A1(1) and back ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one ⋮ A class of integrable non-QRT mappings and their deautonomisation

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