Equilibrium stability conditions under 1:3 resonance

DOI10.1016/0021-8928(80)90141-0zbMath0465.34033OpenAlexW2030012439MaRDI QIDQ1154595

L. G. Khazin, Emmanuil E. Shnol

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)90141-0

zbMATH Keywords

instabilitystability of equilibriumautonomous differential systemalgebraic sufficient conditions for stabilitycritical case of stabilitystability under resonance

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (2)

Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances ⋮ Small vibrations of one-dimensional moving bodies

Cites Work

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• Certain stability questions in the presence of resonances
• On the problem of stability of motion in critical cases

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