AVERAGING IN RANDOMLY PERTURBED MULTIFREQUENCY NONLINEAR-SYSTEMS

被引:0
|
作者
KOVALEVA, AS
机构
来源
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 1995年 / 59卷 / 01期
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暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A procedure is proposed for separating motions in perturbed systems that are reducible to standard form with several fast phases. Non-resonant and resonant cases are considered. Systems with a hierarchy of phase rotation velocities are investigated. The slow motion is shown to converge to a diffusion process. An example is considered, namely, the perturbed motion of a gyroscope in gimbals.
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页码:27 / 33
页数:7
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