The \(U(n)\) free rigid body: integrability and stability analysis of the equilibria

DOI10.1016/j.jde.2015.08.021zbMath1378.70005OpenAlexW1808829378MaRDI QIDQ499538

Tudor S. Ratiu, Daisuke Tarama

Publication date: 30 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.021

zbMATH Keywords

Lyapunov stabilityequilibriumintegrable systembi-Hamiltonian structurefree rigid body

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Stability of solutions to ordinary differential equations (34D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Higher-dimensional generalizations in rigid body dynamics (70E45)

Related Items

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type, Information geometry and Hamiltonian systems on Lie groups

Cites Work

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