Application of complex stochastic averaging to nonlinear random vibration problems

DOI10.1016/0020-7462(87)90006-0zbMath0612.73094OpenAlexW2027839361MaRDI QIDQ1088495

B. George

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90006-0

zbMATH Keywords

nonlinear systemswhite noisescomplex-variable settingIto equationsparametric and external random excitationsstochastic averaging procedureunit Wiener process

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (6)

On stability and fluctuation in Gompertzian and logistic growth models ⋮ Methods of nonlinear random vibration analysis. ⋮ Complex stochastic averaging approach to a two‐state predator system ⋮ Stochastically perturbed Hopf bifurcation in an extended Volterra-Lotka system ⋮ Stochastic analysis of a noisy oscillator ⋮ Fast-diffusion limit with large noise for systems of stochastic reaction-diffusion equations

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