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.

引用

页码：328 / 335

页数：7