Averaging and periodic solutions in the plane and parametrically excited pendulum

被引：0
|
作者：
Noureddine Mehidi
机构：
[1] University of Bejaia,Laboratory of applied mathematics
来源：
Meccanica | 2007年 / 42卷
关键词：
Averaging; Periodic solutions; Symmetries; Pendulum;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：403 / 407
页数：4
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