Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke

DOI10.1134/S1064562417010094zbMath1367.37052OpenAlexW2605573106MaRDI QIDQ2358588

Pavel E. Ryabov

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417010094

zbMATH Keywords

periodic solutionelliptic functionsmomentum map

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\)
• Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid
• New invariant relations for the generalized two-field gyrostat
• The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(4)\)
• A new integrable case of the motion of the 4-dimensional rigid body
• Compatible Poisson brackets on Lie algebras
• Topology and stability of integrable systems

This page was built for publication: Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke