ENERGY METHODS IN THE STABILITY PROBLEM FOR THE 𝔰𝔬(4) FREE RIGID BODY

DOI10.1142/S0218127413500326zbMath1270.70007arXiv1010.0295OpenAlexW3125538287MaRDI QIDQ2845152

Petre Birtea, Ioan Caşu

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0295

zbMATH Keywords

energy methodbifurcationnonlinear stabilityspectral stabilityfree rigid body

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Free motion of a rigid body (70E15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems in rigid body dynamics (70E50)

Cites Work

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• The stability problem for the torque-free gyrostat investigated by using algebraic methods
• Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body
• On rational integrability of Euler equations on Lie algebra \(\mathrm{so}(4, \mathbb C)\)
• Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry
• Integral geodesics of a flow on Lie groups
• Nonlinear stability of fluid and plasma equilibria
• ON THE STABILITY PROBLEM FOR THE $\mathfrak{so}(5)$ FREE RIGID BODY
• Equivalence of energy methods in stability theory
• Stability Analysis of Some Integrable Euler Equations for SO(n)
• On the Normal Forms of Linear Canonical Transformations in Dynamics

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