SYSTEMS OF HESS–APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY

DOI10.1142/S0219887809004211zbMath1213.37088arXiv0912.1875MaRDI QIDQ5305092

Borislav Gajić, Vladimir Dragović, Božidar Žarko Jovanović

Publication date: 19 March 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1875

zbMATH Keywords

invariant relationspartial reductionsystems of Hess-Appel'rot typeZhukovskii property

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesic flows in symplectic geometry and contact geometry (53D25) Integrable cases of motion in rigid body dynamics (70E40)

Related Items

Integrability of geodesic flows for metrics on suborbits of the adjoint orbits of compact groups ⋮ Some recent generalizations of the classical rigid body systems ⋮ Four-dimensional generalization of the Grioli precession ⋮ On the completeness of the Manakov integrals ⋮ Contact flows and integrable systems ⋮ Note on free symmetric rigid body motion ⋮ On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations

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