Creating and relating three-dimensional integrable maps

DOI10.1088/0305-4470/39/42/L03zbMath1370.37112MaRDI QIDQ3420528

John A. G. Roberts, Gilles Reinout Willem Quispel

Publication date: 2 February 2007

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

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Additive difference equations (39A10)

Related Items (10)

Real dynamics of integrable birational maps ⋮ Direct method to construct integrals for N th-order autonomous ordinary difference equations ⋮ Bilinear, trilinear forms, and exact solution of certain fourth order integrable difference equations ⋮ Studying discrete dynamical systems through differential equations ⋮ Polynomial integrals for third- and fourth-order ordinary difference equations ⋮ Re-factorising a QRT map ⋮ New Integrable and Linearizable Nonlinear Difference Equations ⋮ Invariants in separated variables: Yang-Baxter, entwining and transfer maps ⋮ INTEGRABLE DISCRETIZATIONS OF A TWO-DIMENSIONAL HAMILTONIAN SYSTEM WITH A QUARTIC POTENTIAL ⋮ 2ⁿ-rational maps

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