Averaging principle and the variational approach in the problem on the bifurcation of periodic solutions from nonisolated equilibria of the averaged equation

被引：0
|
作者：
M. I. Kamenskii
B. A. Mikhailenko
机构：
[1] Voronezh State University,
来源：
Differential Equations | 2012年 / 48卷
关键词：
Periodic Solution; Variational Approach; Adjoint Operator; Zero Eigenvalue; Average Principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain conditions for branching (Malkin bifurcation) of periodic solutions of differential equations with a small parameter from nonisolated equilibria of the averaged equation. An averaging principle is stated and proved. We define an abstract analog of the Malkin bifurcation function.
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页码：328 / 335
页数：7
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