The bifurcation and stability of permanent rotations of a heavy triaxial ellipsoid on a smooth plane

DOI10.1016/0021-8928(87)90065-7zbMath0653.70004OpenAlexW2002273021MaRDI QIDQ1108074

V. N. Rubanovskij, Aleksandr Karapetyan

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90065-7

zbMATH Keywords

heavy triaxial ellipsoidmanifold of permanent rotationsPermanent rotationsStationary motions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

The equilibrium positions of an ellipsoid with a cavity containing a liquid on a horizontal plane ⋮ Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid ⋮ On the nonlinear oscillations of a triaxial ellipsoid on a smooth horizontal plane

Cites Work

• On the non-existence of the additional integral in the problem of the motion of a heavy rigid ellipsoid along a smooth plane
• On the stability of stationary motions of non-conservative mechanical systems
• On bifurcation and stability of stationary motions in certain problems of dynamics of a rigid body

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