On the stability of stationary motions of non-conservative mechanical systems

DOI10.1016/0021-8928(86)90053-5zbMath0618.70013OpenAlexW2074774146MaRDI QIDQ1089149

V. N. Rubanovskij, Aleksandr Karapetyan

Publication date: 1986

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(86)90053-5

zbMATH Keywords

stabilityasymptotic stabilityfirst integralsstationary motionsheavy inhomogeneous sphereplane with frictionscleronomic mechanical system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

The bifurcation and stability of permanent rotations of a heavy triaxial ellipsoid on a smooth plane ⋮ The influence of the first integrals and the rolling resistance model on tippe top inversion ⋮ Qualitative investigation of the dynamics of a top on a plane with friction

Cites Work

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• Motion of a heavy rigid body on a horizontal plane with viscous friction
• On bifurcation and stability of stationary motions in certain problems of dynamics of a rigid body
• On a certain property of the characteristic numbers of the solutions of differential equations
• On the stability of motion of gyrostats
• On stability of motion of nonholonomic systems

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