Chaos control: The problem of a bouncing ball revisited

被引：5

作者：

Cristina Vargas, M. ^{[1
]}

Huerta, D. A. ^{[1
]}

Sosa, Victor ^{[1
]}

机构：

[1] IPN Unidad Merida, CINVESTAV, Dept Fis Aplicada, Merida 97310, Yucatan, Mexico

来源：

AMERICAN JOURNAL OF PHYSICS | 2009年 / 77卷 / 09期

关键词：

bifurcation; chaos; nonlinear control systems; physics education; student experiments; RESONANT PARAMETRIC PERTURBATIONS; SYSTEM; SUPPRESSION;

D O I：

10.1119/1.3148565

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The problem of a body bouncing on a periodically oscillating surface is revisited to demonstrate chaos control. When the bouncing body is magnetic, it is possible to modify its behavior by adding a magnetic driving force. The mechanism of chaos control may be understood by means of a mechanical analysis which shows that the main result of applying the driving force is to shift the bifurcation diagram in such a way that chaotic behavior is replaced by periodic behavior and vice versa. A simple experiment is presented, along with a numerical simulation, that provides insight into chaos control.

引用

页码：857 / 861

页数：5

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