Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone

DOI10.1088/1361-6544/ab2d5ezbMath1442.70010arXiv1901.03558OpenAlexW3101184845MaRDI QIDQ5240842

László Fehér

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03558

zbMATH Keywords

integrable systemsHamiltonian reductionbi-Hamiltonian systemsspin Ruijsenaars-Schneider-Sutherland models

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) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (5)

Relativistic interacting integrable elliptic tops ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models ⋮ Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction

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