On certain properties of solutions of singularly perturbed systems in a particular critical case

DOI10.1016/0021-8928(82)90102-2zbMath0523.34052OpenAlexW2042520300MaRDI QIDQ584611

Lyudmila K. Kuzmina

Publication date: 1982

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(82)90102-2

zbMATH Keywords

small parametergyroscopic systems

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Stability of solutions to ordinary differential equations (34D20) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

On approximate methods of analysing certain singularly-perturbed systems ⋮ Lyapunov's theory methods in stability problems of singular systems ⋮ Admissibility of simplified equations in the dynamics of gyroscopic systems ⋮ Some problems in stability theory of singularly perturbed systems with multiple time-scales ⋮ Solution of the singularly perturbed stability problem

Cites Work

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• On the admissibility of application of precession equations of gyroscopic systems
• On the precession equations of gyroscopic systems
• The stability of solutions of certain systems of differential equations with a small parameter at derivatives
• On the stability of gyroscopic stabilization systems
• On the motion of nonlinear gyroscopic systems
• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms

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