Solution of the singularly perturbed stability problem

DOI10.1016/0021-8928(91)90009-JzbMath0789.34050OpenAlexW2090479309MaRDI QIDQ1314022

Lyudmila K. Kuzmina

Publication date: 2 March 1994

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(91)90009-j

zbMATH Keywords

stabilitysingularly perturbed problemcritical caseselectromechanical systemscomparison systemspowers of small parameters

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Technical applications of optics and electromagnetic theory (78A55) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• On certain properties of solutions of singularly perturbed systems in a particular critical case
• Admissibility of simplified equations in the dynamics of gyroscopic systems
• On the qualitative investigation of motions using asymptotic methods of nonlinear mechanics
• On the admissibility of application of precession equations of gyroscopic systems
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