On stability under constantly acting perturbations

DOI10.1016/0021-8928(80)90110-0zbMath0466.70005OpenAlexW2008848394MaRDI QIDQ1155381

V. I. Vozlinskij

Publication date: 1980

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(80)90110-0

zbMATH Keywords

stability under perturbationsLiapunovs direct methodtheorem on the parametric stabilityVolterra's geometric construction

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Dynamics of a rigid body and of multibody systems (70E99) Motion of the gyroscope (70E05)

Cites Work

• On the stability of motions of conservative mechanical systems under continually-acting perturbations
• On equilibrium instability for conservative and partially dissipative systems
• On a certain property of the characteristic numbers of the solutions of differential equations
• On the stability of systems with random parameters
• On the stability of steady motions
• On the bifurcations op stationary motions of conservative systems with two cyclic coordinates
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