Averaging in randomly perturbed multifrequency nonlinear systems

DOI10.1016/0021-8928(95)00004-9zbMath0882.34061OpenAlexW1966694253MaRDI QIDQ1359917

A. S. Kovaleva

Publication date: 12 March 1998

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(95)00004-9

zbMATH Keywords

averaging principledynamic systemsgyroscopestationary stochastic processgimbalsrandomly perturbed multifrequency nonlinear systems

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Ordinary differential equations and systems with randomness (34F05) Motion of the gyroscope (70E05)

Cites Work

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• The causes of the shimmy phenomenon
• The construction of successive approximations of the perturbation method for systems with random coefficients
• The averaging of systems with a hierarchy of phase rotation speeds
• Decomposition of motions in nonlinear systems with spinning phase under random perturbations

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