Stability of the equilibrium of an oscillator with an infinitely high natural oscillation frequency

DOI10.1134/S1063454119030051zbMath1457.34093OpenAlexW2971368857MaRDI QIDQ2282755

V. R. Bukaty, Yuri N. Bibikov

Publication date: 19 December 2019

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454119030051

zbMATH Keywords

stabilityoscillatorsecond-order differential equationperiodic perturbationsinfinite frequency

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• On the stability of the equilibrium under periodic perturbations of an oscillator with a power-law restoring force with a rational exponent
• Probleme General de la Stabilite du Mouvement. (AM-17)

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