On Asymptotics for Critical Solutions of Systems of Differential Equations with Oscillatory Decreasing Coefficients

被引：1

作者：

Nesterov, P. N. ^{[1
]}

机构：

[1] Demidov Yaroslavl State Univ, Ul Sovetskaya 14, Yaroslavl 150000, Russia

来源：

AUTOMATIC CONTROL AND COMPUTER SCIENCES | 2013年 / 47卷 / 07期

基金：

俄罗斯基础研究基金会;

关键词：

oscillatory decreasing coefficients; critical solutions; method of averaging; asymptotics; coupled oscillators;

D O I：

10.3103/S0146411613070134

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we propose a method for constructing the asymptotics for a set of linear independent solutions of systems of differential equations with oscillatory decreasing coefficients. We illustrate this method by constructing the asymptotics for solutions of a system of two oscillators with slowly decreasing coupling and friction in one of the oscillators.

引用

页码：500 / 515

页数：16

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