Discrete Painlevé I and singularity confinement in projective space

DOI10.1016/S0960-0779(98)00266-5zbMath1115.39301OpenAlexW2069321253MaRDI QIDQ997432

Claude Viallet, Jarmo Hietarinta

Publication date: 6 August 2007

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00266-5

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12)

Related Items (9)

Growth of degrees of integrable mappings ⋮ Riemann-Hilbert Problems, Matrix Orthogonal Polynomials and Discrete Matrix Equations with Singularity Confinement ⋮ A note on globally periodic maps and integrability ⋮ A class of integrable and nonintegrable mappings and their dynamics ⋮ Elementary exact calculations of degree growth and entropy for discrete equations ⋮ Continuous families of rational surface automorphisms with positive entropy ⋮ Hirota's method and the search for integrable partial difference equations. 1. Equations on a 3 × 3 stencil ⋮ Calculating algebraic entropies: an express method ⋮ Singularity confinement and full-deautonomisation: a discrete integrability criterion

Cites Work

• Singularity, complexity, and quasi-integrability of rational mappings
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?

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