Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods

DOI10.1002/mma.2595zbMath1263.70006arXiv1112.3481OpenAlexW3102032412MaRDI QIDQ4919622

Dan Comănescu

Publication date: 14 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3481

zbMATH Keywords

stabilityrigid bodygyrostat

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability of solutions to ordinary differential equations (34D20) Stability problems in rigid body dynamics (70E50)

Related Items (4)

A note on stability of nongeneric equilibria for an underwater vehicle ⋮ Hessian operators on constraint manifolds ⋮ On the stability of a class of permanent rotations of a heavy asymmetric gyrostat ⋮ The stability problem and special solutions for the 5-components Maxwell-Bloch equations

Cites Work

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• The stability problem for the torque-free gyrostat investigated by using algebraic methods
• On the dynamics of a gyrostat on Lagrangian equilibria in the three body problem
• On stabilization by means of the Energy-Casimir method
• Stability theory by Liapunov's direct method
• Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque
• Invariant critical sets of conserved quantities
• Lagrangian relative equilibria for a gyrostat in the three-body problem: bifurcations and stability
• Eulerian Equilibria of a Gyrostat in Newtonian Interaction with Two Rigid Bodies
• Dynamics of Multibody Systems

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