ON THE STABILITY PROBLEM FOR THE $\mathfrak{so}(5)$ FREE RIGID BODY
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Publication:2891008
DOI10.1142/S0219887811005610zbMath1317.70003arXiv1009.2387OpenAlexW1957260856MaRDI QIDQ2891008
Publication date: 12 June 2012
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2387
Free motion of a rigid body (70E15) Stability problems in rigid body dynamics (70E50) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (3)
Algebraic geometry and stability for integrable systems ⋮ Stability of stationary rotations of multidimensional rigid body ⋮ ENERGY METHODS IN THE STABILITY PROBLEM FOR THE 𝔰𝔬(4) FREE RIGID BODY
Cites Work
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- Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
- On the Euler equation: Bi-Hamiltonian structure and integrals in involution
- Integrable geodesic flows on Riemannian manifolds
- Integral geodesics of a flow on Lie groups
- Equivalence of energy methods in stability theory
- Stability Analysis of Some Integrable Euler Equations for SO(n)
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