On the limits of discrete Painlevé equations associated with the affine Weyl group E8

DOI10.1063/1.4978330zbMath1362.39017OpenAlexW2600440105MaRDI QIDQ2974660

K. M. Tamizhmani, T. Tamizhmani, Basile Grammaticos, Alfred Ramani

Publication date: 10 April 2017

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

Full work available at URL: https://doi.org/10.1063/1.4978330

zbMATH Keywords

limitdiscrete Painlevé equationlinearisation

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) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (4)

Investigating relations between discrete Painlevé equations: The multistep approach ⋮ Discrete Painlevé equations from singularity patterns: The asymmetric trihomographic case ⋮ Miura transformations for discrete Painlevé equations coming from the affine E8 Weyl group ⋮ Interrelations of discrete Painlevé equations through limiting procedures

Cites Work

• Unnamed Item
• The number of discrete Painlevé equations is infinite
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Integrable mappings and soliton equations. II
• Discrete Painlevé equations: coalescences, limits and degeneracies
• Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
• A class of integrable and nonintegrable mappings and their dynamics
• An affine Weyl group approach to the eight-parameter discrete Painlevé equation
• Strongly asymmetric discrete Painlevé equations: The multiplicative case
• Padé Interpolation for Elliptic Painlevé Equation
• Discretising the Painlevé equations à la Hirota-Mickens
• On a novel representation of discrete Painlevé equations
• Singularity analysis for difference Painlevé equations associated with the affine Weyl groupE₈
• Geometric aspects of Painlevé equations
• Linearizable QRT mappings
• On the explicit integration of a class of linearizable mappings
• Deautonomizing integrable non-QRT mappings
• Degeneration through coalescence of theq-Painlevé VI equation
• Integrable systems without the Painlevé property
• Higher linearizable mappings and their explicit integration
• Strongly asymmetric discrete Painlevé equations: The additive case
• Elliptic and multiplicative discrete Painlevé equations from the affine Weyl group E₈

This page was built for publication: On the limits of discrete Painlevé equations associated with the affine Weyl group E8