Stability of elastic systems under a stochastic parametric excitation

DOI10.1007/S00419-007-0196-ZzbMath1161.74404OpenAlexW1991863444MaRDI QIDQ1020411

Vadim D. Potapov

Publication date: 29 May 2009

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-007-0196-z

zbMATH Keywords

stabilitynumerical methodstochastic equations

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (1)

The moment Lyapunov exponent of a Timoshenko beam under bounded noise excitation

Cites Work

• Exact solution of a particular problem of oscillations of a system with random parametric excitation
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Stability of regime-switching stochastic differential equations
• On the theory of optimal control. Sufficient coordinates
• Über die Struktur stationärer zufälliger Funktionen
• On Shary's Algebraic Approach for Linear Interval Equations
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