On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations

DOI10.1134/S156035471205005XzbMath1252.70022arXiv1110.0427MaRDI QIDQ1760047

Borislav Gajić, Vladimir Dragović

Publication date: 12 November 2012

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

Full work available at URL: https://arxiv.org/abs/1110.0427

zbMATH Keywords

Kirchhoff equationsalgebraic integrable systemsChaplygin caseKirchhoff case

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Integrable cases of motion in rigid body dynamics (70E40) Higher-dimensional generalizations in rigid body dynamics (70E45)

Related Items (5)

Some recent generalizations of the classical rigid body systems ⋮ Lie bundle on the space of deformed skew-symmetric matrices ⋮ Tangent lifts of bi-Hamiltonian structures ⋮ Poisson brackets after Jacobi and Plücker ⋮ Chaotic orbits of tumbling ellipsoids

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• The Lagrange bitop on so(4) x so(4) and geometry of the Prym varieties
• SYSTEMS OF HESS–APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY

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