On the stability of steady motions of Chaplygin's nonholonomic systems

DOI10.1016/0021-8928(78)90033-3zbMath0438.70018OpenAlexW1673891520MaRDI QIDQ1142052

Aleksandr Karapetyan

Publication date: 1979

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(78)90033-3

zbMATH Keywords

dissipative forcescyclic coordinatesequations of motion in Chaplygin's formRaleigh functionstability of a dynamical systemsteady motion of a torus on absolutely rough horizontal surface

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)

Related Items

Unnamed Item, On the problem of steady motions stability of nonholonomic systems, Asymptotic solution of the equations of motion for a celtic stone

Cites Work

• On stability of equilibrium of nonholonomic systems
• On quadratic integrals of linear autonomous systems
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