On integrable deformation of the Poincare system

DOI10.1070/RD2002V007N03ABEH000215zbMath1019.37037MaRDI QIDQ1860562

Andreĭ Vladimirovich Tsyganov

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

integrable system\(r\)-matrixSklyanin algebraHamiltonian systems on a Lie algebra

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (4)

Separation of variables for a pair of integrable systems on \(\mathrm{so}^*(4)\) ⋮ Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket ⋮ The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram ⋮ On bi-hamiltonian structure of some integrable systems

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