Nonlinear dynamics of a conservative system degenerating into a system with a singular set

DOI10.1016/0021-8928(89)90001-4zbMath0724.73120OpenAlexW2146558403MaRDI QIDQ758292

R. F. Nagaev, Valery N. Pilipchuk

Publication date: 1989

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(89)90001-4

zbMATH Keywords

asymptotic solutionsingular sethigh-frequency oscillationsdrift of a localized regionsuitable small parameter

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Lagrange's equations (70H03)

Related Items (1)

Strong nonlinear modal interaction in shallow suspended cables with oscillating ends

Cites Work

• Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections
• Nonlinear vibrations of a three-element mechanical system with several equilibrium positions
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