A new class of integrable discrete systems

DOI10.1088/0305-4470/35/43/315zbMath1042.37012OpenAlexW2070312032MaRDI QIDQ4469921

Hideyuki Yahagi, Ryogo Hirota, Kinji Kimura, Alfred Ramani, Yasuhiro Ohta, Basile Grammaticos

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/43/315

zbMATH Keywords

integrabilitydiscrete Painlevé equationsmappings with biquartic invariantsparametrization with elliptic functions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13) Elliptic functions and integrals (33E05) Painlevé-type functions (33E17) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (15)

Involutions of Halphen pencils of index 2 and discrete integrable systems ⋮ Manin involutions for elliptic pencils and discrete integrable systems ⋮ On the integrability of correspondences associated to integral curves ⋮ Integrable mappings with transcendental invariants ⋮ From integrable lattices to non-QRT mappings ⋮ Integrable non-QRT mappings of the plane ⋮ Singularity confinement and algebraic integrability ⋮ A three-dimensional generalization of QRT maps ⋮ Folding Transformations and HKY Mappings ⋮ A class of integrable and nonintegrable mappings and their dynamics ⋮ Generalised Manin transformations and QRT maps ⋮ Re-factorising a QRT map ⋮ Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations ⋮ On the canonical forms of QRT mappings and discrete Painlevé equations ⋮ A class of integrable non-QRT mappings and their deautonomisation

This page was built for publication: A new class of integrable discrete systems