Random oscillations in nonautonomous mechanical systems with random parametric excitation

DOI10.1007/BF01055961zbMath0583.70017MaRDI QIDQ1069328

Nguyen Dong Anh

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

random oscillationsexternal periodic forcenonautonomous mechanical systemsprincipal resonance regionrandom parametric excitationwhite noise of unit intensity

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random vibrations in mechanics of particles and systems (70L05) Dynamics of a system of particles, including celestial mechanics (70F99)

Cites Work

• Exact solution of a particular problem of oscillations of a system with random parametric excitation
• Some methods for integrating Fokker-Planck-Kolmogorov equations in the theory of random oscillations
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