Reshaping Arnold Tongues

被引：0
|
作者：
Moreno-Ahedo, Luis [1 ]
Collado, Joaquin [1 ]
机构：
[1] IPN, CINVESTAV, Dept Automat Control, Mexico City 07738, DF, Mexico
来源：
2009 6TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATION CONTROL (CCE 2009) | 2009年
关键词：
EQUATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given the Hill's equation x + (alpha + beta p(t)t)x = 0, where alpha and beta are parameters and p(t) is periodic. The Arnold's tongues are the unstable regions in the alpha-beta plane where the solutions of the Hill's equation are unbounded. We shall present some results about the reshaping of the Arnold's tongues varying p(t) by (p) over bar (t) = eta(p(t) + gamma f(t)) where the term gamma f(t) acts as control parameter. We shall present the results for the Mathieu's equation.
引用
收藏
页码：307 / 311
页数：5
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