A Lax pair of the discrete Euler top

DOI10.1088/1751-8121/aa5df9zbMath1425.70006OpenAlexW2963780265MaRDI QIDQ4977136

Kinji Kimura

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1088/1751-8121/aa5df9

zbMATH Keywords

generalized eigenvalue problemLax pairdiscrete integrable systemdiscrete Euler top

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Spectrum, resolvent (47A10) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (4)

Lax pairs for the discrete reduced Nahm systems ⋮ A three-dimensional generalization of QRT maps ⋮ Growth and integrability of some birational maps in dimension three ⋮ Discrete geodesic flows on Stiefel manifolds

Cites Work

• Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras
• The problem of integrable discretization: Hamiltonian approach
• Discretization of the Lagrange Top
• Discretization of the Euler Top
• Regular algebras of dimension 2, the generalized eigenvalue problem and Padé interpolation
• Unnamed Item

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