Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations

被引：0
作者：
O. A. Sultanov
机构：
[1] Russian Academy of Sciences,Institute of Mathematics and Computing Center, Ufa Scientific Center
来源：
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词：
systems of nonlinear oscillation equations; autoresonance; random perturbations; stability of solutions; Lyapunov function method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Systems of differential equations arising in the theory of nonlinear oscillations in resonance-related problems are considered. Of special interest are solutions whose amplitude increases without bound with time. Specifically, such solutions correspond to autoresonance. The stability of autoresonance solutions with respect to random perturbations is analyzed. The classes of admissible perturbations are described. The results rely on information on Lyapunov functions for the unperturbed equations.
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页码：59 / 73
页数：14
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