NON-MONOTONE PERIOD FUNCTIONS FOR IMPACT OSCILLATORS

被引：0
|
作者：
Chicone, Carmen [1 ]
Felts, Kenny [1 ]
机构：
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年
关键词：
Period function; impact oscillator;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of non-monotone period functions for differential equations of the form x + f(x) + gamma H(x)g(x) = 0 is proved for large gamma, where H is the Heaviside function and the functions f and g satisfy certain generic conditions. This result is precipitated by an analysis of the system x + sin x + gamma H(x)x(3/2) = 0, which models the conservative dimensionless impact pendulum utilizing Hertzian contact during impact with a barrier at the downward vertical position.
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页数：9
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