Steady motions and integral manifolds of systems with quadratic integrals

DOI10.1016/0021-8928(90)90004-TzbMath0747.70011OpenAlexW1963687586MaRDI QIDQ1189966

V. I. Orekhov

Publication date: 26 September 1992

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(90)90004-t

zbMATH Keywords

phase spacerigid bodyconservative systemsgyroscopeadditional integral of motionnon- holonomic problem

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

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• Dynamics of a body with a fluid-filled ellipsoidal cavity
• Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems
• On bifurcation and stability of stationary motions in certain problems of dynamics of a rigid body
• Topology and mechanics. I
• On the stability of steady motions

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