Hyperelliptic Nambu flow associated with integrable maps

DOI10.1063/1.1643195zbMath1070.37041arXivmath-ph/0402036OpenAlexW2069974590MaRDI QIDQ4833345

Katsuhiko Yoshida, Noriko Saitoh, Satoru Saito

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0402036

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• On foundation of the generalized Nambu mechanics
• Higher-dimensional generalisations of the Euler top equations
• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• A complete solution of the periodic Toda problem
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Generalized Hamiltonian Dynamics
• Hamiltonian flow associated with a two-dimensional map