On the bi-Hamiltonian structure of the Goryachev system on the sphere

DOI10.1134/S1064562409030351zbMath1181.37102OpenAlexW2078225449MaRDI QIDQ736035

Andreĭ Vladimirovich Tsyganov

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409030351

zbMATH Keywords

Poisson manifoldbi-HamiltonianGoryachev system

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 systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

Cites Work

• Separation of variables for a pair of integrable systems on \(\mathrm{so}^*(4)\)
• Les variétés de Poisson et leurs algèbres de Lie associees
• On bi-Hamiltonian geometry of the Lagrange top

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