Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation

被引：0

作者：

Sultanov O.A. ^{[1
]}

机构：

[1] Institute of Mathematics, Ufa Scientific Center of the Russian Academy of Sciences, 112. Chernyshevskogo St., Ufa

来源：

Journal of Mathematical Sciences | 2016年 / 219卷 / 2期

关键词：

D O I：

10.1007/s10958-016-3104-7

中图分类号：

学科分类号：

摘要：

We consider the system of differential equations describing the initial step of capture of nonlinear oscillations in autoresonance under weak dissipation. We study the stability in probability of resonance solutions with unboundedly growing amplitude under persistent random perturbations. Bibliography: 11 titles. Illustrations: 1 Figure © 2016, Springer Science+Business Media New York.

引用

页码：267 / 274

页数：7

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