Averaging and periodic solutions in the plane and parametrically excited pendulum

被引：3

作者：

Mehidi, Noureddine ^{[1
]}

机构：

[1] Univ Bejaia, Lab Appl Math, Bejaia 06000, Algeria

来源：

MECCANICA | 2007年 / 42卷 / 04期

关键词：

averaging; periodic solutions; symmetries; pendulum;

D O I：

10.1007/s11012-007-9062-x

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We first approximate the solutions of the nonautonomous oscillating suspension point pendulum equation by the solutions of a second order autonomous differential equation. Using the strict monotonicity of the periodic solutions of the approximating equation, we prove the existence of a large number of subharmonic periodic solutions of the plane pendulum when its point of suspension is excited parametrically.

引用

页码：403 / 407

页数：5

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